![Online education degree: all geometry problems](all_geometry_problems_17.jpg)
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Lines, angles, figures,
Puzzles waiting to be solved,
Geometry fun.
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Open Geometry Problems
Problems
Ten Geometry Problems
Visual Index
Parallel lines
Perpendicular lines
Collinear Points
Triangle
Metric Relations
Quadrilateral
Triangle & Squares
Polygons
Pentagons
Hexagons
Heptagons
Octagons
Circle
Triangle
Centers Congruence
Similarity, Ratios, Proportions |
![Geometry Problem 1566](../school-college/6/p1566-equilateral-triangle-cevian-60-degrees-mystery-sum-of-segments-tutoring-1.jpg) |
Geometry Problem 1566:
Demonstrate AC Equals AE + CD in an Equilateral Triangle ABC Involving Cevians and 60 Degrees.. |
![Geometry Problem 1565](../school-college/6/p1565-triangle-median-perpendicular-midpoint-congruence-tutoring-1.jpg) |
Geometry Problem 1565:
Find the Length of BF in Triangle ABC Involving Median, Perpendicular, Midpoint, and Congruence. |
![Geometry Problem 1564](../school-college/6/p1564-find-area-quadrilateral-in-right-triangle-abc-with-altitude-bisectors-midpoint-tutoring-1.jpg) |
Geometry Problem 1564:
Find the Area of Quadrilateral BGDJ in a Right Triangle involving the Altitude, Angle bisectors, and Midpoints. |
![Geometry Problem 1563](../school-college/6/p1563-midpoint-mysteries-proving-perpendicularity-in-right-triangle-abc-altitude-bisectors-1.jpg) |
Geometry Problem 1563:
Perpendicularity in a Right Triangle involving the Altitude, Angle bisectors, and Midpoints. |
![Geometry Problem 1562](../school-college/6/p1562-right-angled-triangle-bisector-midpoint-collinear-points-proof-1.jpg) |
Geometry Problem 1562:
Proof of Collinearity in a Right-angled Triangle involving the Altitude, Angle bisectors, and Midpoint. |
![Geometry Problem 1561](../school-college/6/p1561-highschool-college-geometry-triangle-ABC-circumcenter-orthocenter-angle-parallel-problem-1.jpg) |
Geometry Problem 1561:
Triangle ABC, Circumcenter O, Orthocenter H, Parallel Line, and Angle
Secrets. |
![Geometry Problem 1560](../school-college/6/p1560-trapezoid-ABCD-geometry-puzzle-angles-G-and-H-AGD-50-degrees-1.jpg) |
Geometry Problem 1560:
Trapezoid ABCD: Unlocking Angle Secrets at G and H. |
![Geometry Problem 1559](../school-college/6/p1559-high-school-geometry-problem-ABC-triangle-bisection-angles-proof-1.jpg) |
Geometry Problem 1559:
Proving BC Bisects Segment DE. This geometry problem challenges students at high school and college levels. |
![Geometry Problem 1558](../school-college/6/p1558-midpoints-of-segments-connecting-corresponding-vertices-of-two-equilateral-triangles-form-an-equilateral-triangle-1.jpg) |
Geometry Problem 1558:
The midpoints of segments connecting corresponding vertices of equilateral triangles form an equilateral triangle. |
![Geometry Problem 1557](../school-college/6/p1557-right-triangle-equilateral-isosceles-congruence-midpoint-angle-problem-solving-1.jpg) |
Geometry Problem 1557:
Calculate the Angle DHG in Right Triangle ABC. The problem involves: equilateral,
isosceles, midpoint and congruence |
![Geometry Problem 1556](../school-college/6/p1556-right-triangle-inscribed-circle-properties-and-length-of-FG-problem-solving-1.jpg) |
Geometry Problem 1556: Right Triangle ABC and Inscribed Circle. The problem involves circle, chords, tangent, perpendicular lines, and congruence |
![Geometry Problem 1555](../school-college/6/p1555-circle-chord-intersect-geometry-problem-solving-1.jpg) |
Geometry Problem 1555: Find Length of DE. The problem involves chords, tangent, circles, and intersections of line |
![Geometry Problem 1554](../school-college/6/p1554-triangle-ABC-angles-A-B-altitude-AH-median-AM-length-HM-4-units-length-AB-1.jpg) |
Geometry Problem 1554: Finding the Length of Side AB in Triangle ABC |
![Geometry Problem 1553](../school-college/6/p1553-triangle-abc-angle-bisectors-calculate-circumradius-1.jpg) |
Geometry Problem 1553: Solving for OC in Triangle ABC with Unique Angle Bisectors |
![Geometry Problem 1552](../school-college/6/p1552-triangle-ABC-auxiliary-line-angle-calculation-1.jpg) |
Geometry Problem 1552: Exploring Angle C in Triangle ABC with Given Angle A and Side Lengths |
![Geometry Problem 1551](../school-college/6/p1551-angle-relations-cyclic-quadrilateral-abcd-circumcircles-triangles-1.jpg) |
Geometry Problem 1551: Unraveling Angle Relations in Cyclic Quadrilaterals: Solving for Angle GEJ: A High School Level Investigation |
![Geometry Problem 1550](../school-college/6/p1550-right-triangle-angle-based-segment-length-calculation-isosceles-congruence-1.jpg) |
Geometry Problem 1550: Solving for Segment BD: An Angle Puzzle in Right Triangle ABC: A High School Level Investigation |
![Geometry Problem 1549](../school-college/6/p1549-triangle-incircle-tangent-inscribed-circle-angle-calculation-1.jpg) |
Geometry Problem 1549: Unraveling the Geometric Mystery: Calculating Angle
BGE with the Incircle and Tangent in Triangle ABC |
![Geometry Problem 1548](../school-college/6/p1548-triangle-abc-angle-a-45-altitudes-bd-ce-intersect-point-f-de-length-calculation-1.jpg) |
Geometry Problem 1548: Exploring Segment DE Length in Triangle ABC with a 45-Degree Angle and Intersecting Altitudes |
![Geometry Problem 1547](../school-college/6/p1547_circle_radius_4_tangents_AB_AC_points_of_tangency_distance_calculation_from_B_to_AC-1.jpg) |
Geometry Problem 1547: Tangents' Dance: Exploring B-to-AC Distance in a
Circle's Grasp |
![Geometry Problem 1546](../school-college/6/p1546-inscribed-circle-given-sides-calculate-contact-triangle-area-1.jpg) |
Geometry Problem 1546: Discover the Hidden Geometry: Calculate Area of Contact Triangle DEF in Triangle ABC |
![Geometry Problem 1545](../school-college/6/p1545-geometric-puzzle-area-of-triangle-inscribed-circle-excenters-incircle-1.jpg) |
Geometry Problem 1545: Unlock the Geometric Mystery: Calculate the Area of Triangle ABC with Inscribed Circle and Excenters! |
![Geometry Problem 1544](../school-college/6/p1544-calculate-area-triangle-with-given-arc-semicircle-intersection-geometry-resource-1.jpg) |
Geometry Problem 1544: Challenge: Calculate the Area of a Triangle with Given Arc and Semicircle Intersections. |
![Geometry Problem 1543](../school-college/6/p1543-square-circle-arc-mindpoint-quadrilateral-area-school-college-1.jpg) |
Geometry Problem 1543: Calculating the Area of Quadrilateral ABED in a Square with a Side Length of 20 and an Intersecting Arc. |
![Geometry Problem 1542](../school-college/6/p1542-right-triangle-square-circumscribed-inscribed-circle-hypotenuse-segment-length-angle-bisector-1.jpg) |
Geometry Problem 1542: Unraveling a Geometric Puzzle with a Circumscribed
Right Triangle and Square to the Same Circle for School and College. |
![Geometry Problem 1540](../school-college/6/p1541-inscribed-cyclic-quadrilateral-diameter-circumcircle-harmonic-quaternary-menelaus-ceva-1.jpg) |
Geometry Problem 1541 Challenge: Unveiling BG Length in an Inscribed Quadrilateral with Harmonic Quaternary Insight for Academic Pursuit. |
![Geometry Problem 1540](../school-college/6/p1540-length-chord-circle-intersection-diameter-similarity-math-class-1.jpg) |
Geometry Problem 1540: Solving for the Length of Chord in a Circle: Analyzing Intersections and Given Values for Academic Pursuits. |
![Geometry Problem 1539](../school-college/6/p1539-isosceles-triangle-tangent-circle-altitude-right-angle-midpoint-measurement-math-class-1.jpg) |
Geometry Problem 1539 Demystified: Unraveling the Lengths in an Isosceles Triangle with Altitude and Tangent Secrets!. |
![Geometry Problem 1538](../school-college/6/p1538-triangle-external-squares-quadrilateral-area-segment-length-math-class-1.jpg) |
Geometry Problem 1538: Unlocking the Secrets of Triangular Geometry: Solve for the Area of a Quadrilateral Using External Squares and a Segment Length. |
![Geometry Problem 1537](../school-college/6/p1537-parallelogram-midpoint-triangle-area-intersection-math-challenge-1.jpg) |
Geometry Problem 1537 Challenge: Can You Solve for the Missing Area in a Parallelogram using Midpoints and Intersection Points?. |
![Geometry Problem 1536](../school-college/6/p1536-quadrilateral-midpoint-area-triangle-math-education-1.jpg) |
Geometry
Problem 1536: Discover the Power of Midpoints: Solving for Missing Areas in Quadrilaterals. |
![Geometry Problem 1535](../school-college/6/p1535-inscribed-circle-in-square-find-angle-crack-the-code-thematic-poem-1.jpg) |
Geometry
Problem 1535: Crack the Code: Inscribed Circle in Square - Angle Challenge! Solve the Mystery. |
![Geometry Problem 1534](../school-college/6/p1534-tangent-circle-common-external-tangent-angle-brainteaser-1.jpg) |
Geometry
Problem 1534: High School Brainteaser: Tangent Circles, Common External Tangent, and Angle Conundrums!.
. |
![Geometry Problem 1533](../school-college/6/p1533-square-exterior-right-triangle-find-angle-cyclic-quadrilateral-1.jpg) |
Geometry
Problem 1533: Discovering Relationships between Angles and Lines in an Exterior Right Triangle of a Square - A High School Challenge.
. |
![Geometry Problem 1532](../school-college/6/p1532-square-inner-semicircle-tangent-find-angle-chord-1.jpg) |
Geometry
Problem 1532: Crack the Code of Geometry Problem 1532: How to Find the Angle in a Square with a Tangent Semicircle! - A High School Challenge.
. |
![Geometry Problem 1531](../school-college/6/p1531-circle-diameter-chord-angle-pythagorean-theorem-length-30-degree-1.jpg) |
Geometry
Problem 1531: Discover How to Calculate the Length of a Chord in a Circle with Diameter Intersection and an Angle between the Diameter and Chord - A High School Challenge.
. |
![Geometry Problem 1530](../school-college/6/p1530-angle-measure-square-rectangle-cyclic-quadrilateral-1.jpg) |
Geometry
Problem 1530: Unlock the Secrets of Geometric Angles: Calculate the Measurement of an Angle in a Square and Rectangle Figure Today! - A High School Challenge.
. |
![Geometry Problem 1529](../school-college/6/p1529-triangle-interior-cevian-30-100-degree-congruence-find-missing-angle-1.jpg) |
Geometry
Problem 1529: Unlock the Mystery of Triangles: Solving for the Missing Angle with 100-50-30 Degree Angles and Cevian Lengths - A High School Challenge.
. |
![Geometry Problem 1528](../school-college/6/p1528-90-degree-circular-sector-inscribed-circle-tangent-find-angle-radius-1.jpg) |
Geometry
Problem 1528: Cracking the Circle Code: Unveiling the Tangent and Angle of an Inscribed Circle within a 90-Degree Circular Sector.
. |
![Geometry Problem 1527](../school-college/6/p1527-two-intersecting-circles-angle-between-chords-1.jpg) |
Geometry
Problem 1527: Discovering the Hidden Angle: Solving the Puzzle of Two Intersecting Circles.
. |
![Geometry Problem 1526](../school-college/6/p1526-parallelogram-intersecting-bisectors-distance-congruence-1.jpg) |
Geometry
Problem 1526: Mastering Geometry Problem-Solving: Discover the Distance Between Two Sides in a Parallelogram Using Bisectors and Distance Measures.
. |
![Geometry Problem 1525](../school-college/6/p1525-right-triangle-equilateral-midpoint-hypotenuse-distance-1.jpg) |
Geometry
Problem 1525 and a Thematic Poem.
Unveiling the Secrets of an Equilateral Triangle in Right Triangle Geometry: Finding the Midpoint Distance between Segments. |
![Geometry Problem 1524](../school-college/6/p1524-parallelogram-angle-bisector-intersect-distance-1.jpg) |
Geometry
Problem 1524 and a Thematic Poem.
Unlock the Mystery of Parallelograms: Discover the Length of Segment between the Intersecting Angle Bisectors. |
![Geometry Problem 1523](../school-college/6/p1523-calculate-length-altitude-isosceles-triangle-midpoint-1.jpg) |
Geometry
Problem 1523 and a Thematic Poem.
Discover How to Calculate the Length of the Altitude in an Isosceles Triangle - Get Expert Geometry Tips Now!
. |
![Geometry Problem 1522](../school-college/6/p1522-triangle-median-double-angle-side-geometry-poem-1.jpg) |
Geometry
Problem 1522 and a Thematic Poem.
Unlocking the Angle Measure of a Triangle with Median and Doubled Side Lengths. |
![Geometry Problem 1521](../school-college/6/p1521-triangle-find-angle-side-two-diameter-circle-1.jpg) |
Geometry
Problem 1521 and a Thematic Poem.
Unlock the Secret to Finding the Measure of an Angle in a Triangle with Two Sides as Diameters of Circles. |
![Geometry Problem 1520](../school-college/6/p1520-rectangle-exterior-point-congruence-discovery-distance-1.jpg) |
Geometry
Problem 1520 and a Thematic Poem.
Discovering Distances in a Rectangle with an Exterior Point: A Geometry Challenge. |
![Geometry Problem 1519](../school-college/6/p1519-parallelogram-length-midpoints-parallel-line-1.jpg) |
Geometry
Problem 1519 and a Thematic Poem.
Discover the Length of a Segment in a Parallelogram using Midpoints and Parallel Lines. |
![Geometry Problem 1518](../school-college/6/p1518-solve-number-of-sides-equiangular-polygon-angle-bisector-interior-point-1.jpg) |
Geometry
Problem 1518 and a Thematic Poem.
Boost Your Geometry Skills: Solve for the Number of Sides in an Equiangular Polygon with an Interior Point and Bisected Angle. |
![Geometry Problem 1517](../school-college/6/p1517-unlock-triangle-side-length-solving-median-angles-1.jpg) |
Geometry
Problem 1517 and a Thematic Poem.
Unlocking Triangle Side Length: Solving with a Median and Two Angles. Difficulty Level: High School. |
![Geometry Problem 1516](../school-college/6/p1516-solving-for-the-length-of-a-side-in-an-equiangular-hexagon-1.jpg) |
Geometry
Problem 1516 and a Thematic Poem.
Finding the Length of a Side in an Equiangular Hexagon with Given Three Side Lengths. Difficulty Level: High School. |
![Geometry Problem 1515](../school-college/6/p1515-distance-centroid-triangle-median-exterior-line-perpendicular-1.jpg) |
Geometry
Problem 1515 and a Thematic Poem.
Mastering Triangle Distance Calculation: Find the Distance from the Intersection of Medians to an Exterior Line. Difficulty Level: High School. |
![Geometry Problem 1513](../school-college/6/p1513-right-trapezoid-solving-base-double-angle-sum-two-sides-thematic-poem-1.jpg) |
Geometry
Problem 1513 and a Thematic Poem.
Solving the base in a Right Trapezoid with Double Angle and Sum of Two
Sides. Difficulty Level: High School. |
![Geometry Problem 1512](../school-college/6/p1512-triangle-median-cevian-given-ratio-midpoint-midline-theorem-poem-1.jpg) |
Geometry
Problem 1512 and a Thematic Poem.
Finding the Length of a Segment in a Triangle with a Median and a Cevian with Given Ratio. Difficulty Level: High School. |
![Geometry Problem 1511](../school-college/6/p1511-isosceles-triangle-point-on-the-extensionof-base-distance-measurement-altitude-congruence-poem-1.jpg) |
Geometry
Problem 1511 and a Thematic Poem.
Finding the Altitude of an Isosceles Triangle Using Distances from a Point on the Extension of the Base. Difficulty Level: High School. |
![Geometry Problem 1510](../school-college/6/p1510-three-triangle-congruence-perimeter-measurement-poem-1.jpg) |
Geometry
Problem 1510 and a Thematic Poem.
Congruence of Triangles, Perimeter, Measurement. Difficulty Level: High School. |
![Geometry Problem 1509](../school-college/6/p1509-square-trapezoid-congruence-measurement-1.jpg) |
Geometry
Problem 1509 and a Thematic Poem.
Congruence of Triangles in a Trapezoid and a Square, Measurement. Difficulty Level: High School. |
![Geometry Problem 1508](../school-college/6/p1508-isosceles-equilateral-triangle-angles-quadrilateral-60-80-degrees-1.jpg) |
Geometry
Problem 1508.
Understanding Triangle Geometry: Isosceles, Equilateral, Quadrilateral, Angular. Difficulty Level: High School. |
![Geometry Problem 1507](../school-college/6/p1507-discover-isosceles-triangle-doble-angle-measurement-altitude-perpendicular-1.jpg) |
Geometry
Problem 1507.
Understanding Triangle Geometry: Double Angles, Altitudes, and Measurements. Difficulty Level: High School. |
![Geometry Problem 1506](../school-college/6/1506-two-parallel-lines-angles-corresponding-alternate-1.jpg) |
Geometry
Problem 1506.
Parallel Rays, Angles, Corresponding, Alternate. |
![Geometry Problem 1505](../school-college/6/p1505-three-parallel-rays-angles-corresponding-alternate-consecutive-bisector-1.jpg) |
Geometry
Problem 1505.
Parallel Rays, Angles, and Bisector, Corresponding, Alternate, Conjugate. |
![Geometry Problem 1504](../school-college/6/p1504-3-squares-equilateral-triangle-angle-parallel-1.jpg) |
Geometry
Problem 1504 and Poem.
Squares, Equilateral Triangle, Parallel, Angle. |
![Geometry Problem 1503](../school-college/6/p1503-triangle-transversal-line-tangent-incircle-distance-vertices-perpendicular-congruence-1.jpg) |
Geometry
Problem 1503.
Triangle, Incircle, Tangent, Congruence, Perpendicular. |
![Geometry Problem 1502](../school-college/6/p1502-rigth-triangle-incircles-measurement-inradius-square-quadrilateral-1.jpg) |
Geometry
Problem 1502.
Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral. |
![Geometry Problem 1501](../school-college/6/p1501-square-interior-point-distance-equal-angles-measurement-1.jpg) |
Geometry
Problem 1501.
Square, Exterior Point, Congruent Angles, Segment, Measurement. |
![Geometry Problem 1500](../school-college/5/p1500-circle-tangent-secant-perpendicular-parallel-similarity-cyclic-quadrilateral-1.jpg) |
Geometry
Problem 1500.
Circle, Perpendicular, Tangent, Secant, Cyclic Quadrilateral, Parallel, Similarity, Measurement. |
![Geometry Problem 1499](../school-college/5/p1499-triangle-angle-congruence-cevian-1.jpg) |
Geometry
Problem 1499.
Triangle, Angles, Cevian, Congruence, Isosceles, Equilateral, Auxiliary Construction. |
![Geometry Problem 1498](../school-college/5/p1498-intersecting-circles-diameter-common-chord-secant-cyclic-quadrilateral-concyclic-collinear-points-1.jpg) |
Geometry
Problem 1498.
Intersecting Circles, Diameter, Common Chord, Secant, Cyclic Quadrilateral, Concurrent Lines, Concyclic and Collinear Points. |
![Geometry Problem 1497](../school-college/5/p1497-triangle-transversal-line-same-ratio-proportionality-double-angle-isosceles-1.jpg) |
Geometry
Problem 1497.
Triangle, Transversal, Same Ratio, Proportionality, Isosceles, Double Angle. |
![Geometry Problem 1496](../school-college/5/p1496-triangle-double-angle-isosceles-30-degree-congruence-1.jpg) |
Geometry
Problem 1496.
Triangle, Congruence, Isosceles, Double Angle, 30 Degrees. |
![Geometry Problem 1495](../school-college/5/p1495-circle-parallel-chords-30-degree-square-radius-1.jpg) |
Geometry
Problem 1495.
Circle, Parallel Chords, 30 Degree Angle, Radius Squared. |
![Geometry Problem 1494](../school-college/5/p1494-parallelogram-midpoints-octagon-area-1.jpg) |
Geometry
Problem 1494.
Parallelogram, Midpoints, Octagon, Areas. |
![Geometry Problem 1493](../school-college/5/p1493-four-squares-vertex-parallelogram-auxliliary-line-1.jpg) |
Geometry
Problem 1493.
Four Squares, Parallelogram, Auxiliary Lines. |
![Geometry Problem 1492](../school-college/5/p1492-right-triangle-altitude-incenter-angle-measurement-1.gif) |
Geometry
Problem 1492.
Right Triangle, Altitude, Incenters, Angle, Measurement. |
![Geometry Problem 1491](../school-college/5/p1491-cyclic-quadrilateral-diagonal-incircle-angle-measurement-1.gif) |
Geometry
Problem 1491.
Cyclic Quadrilateral, Diagonal, Incircle, Angle, Measurement. |
![Geometry Problem 1490](../school-college/5/p1490-triangle-cevian-incircle-tangent-measurement-1.gif) |
Geometry
Problem 1490.
Triangle, Cevian, Incircle, Tangent, Measurement. |
![Geometry Problem 1489](../school-college/5/p1489-right-triangle-angle-bisector-perpendicular-measurement-1.gif) |
Geometry
Problem 1489.
Right Triangle, Angle Bisectors, Perpendicular, Measurement. |
![Geometry Problem 1488](../school-college/5/p1488-right-triangle-altitude-angle-bisector-measurement-1.gif) |
Geometry
Problem 1488.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
![Geometry Problem 1487](../school-college/5/p1487-right-triangle-altitude-angle-bisector-measurement-1.gif) |
Geometry
Problem 1487.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
![Geometry Problem 1486](../school-college/5/p1486-right-tringle-altitude-incircle-tangent-measurement-1.jpg) |
Geometry
Problem 1486.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
![Geometry Problem 1485](../school-college/5/p1485-triangle-altitude-orthocenter-circle-tangent-measurement-1.jpg) |
Geometry
Problem 1485.
Triangle, Orthocenter, Altitude, Circle, Diameter, Tangent, Measurement. |
![Geometry Problem 1484](../school-college/5/p1484-right-triangle-three-incircles-inradius-altitude-measurement-1.jpg) |
Geometry
Problem 1484.
Right Triangle, Altitude, Incircles, Inradius, Measurement. |
![Dynamic Geometry 1483](../school-college/5/p1483-isosceles-right-triangle-excenter-perpendicular-measurement-1.jpg) |
Geometry
Problem 1483.
Isosceles Right Triangle, Excenter, Perpendicular, Measurement. |
![Dynamic Geometry 1482](../school-college/5/p1482-right-triangle-double-angle-perpendicular-measurement-1.jpg) |
Geometry
Problem 1482.
Right Triangle, Perpendicular, Double Angle, Measurement. |
![Dynamic Geometry 1481](../school-college/5/p1481-5-circumscribed-quadrilateral-tangent-pitot-ipad-1.jpg) |
Dynamic Geometry 1481.
Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1480](../school-college/5/p1480-cyclic-polygon-triangulation-sum-inradii-invariant-geogebra-ipad-1.jpg) |
Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Sangaku, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1479](../school-college/5/p1479-triangle-circumcircle-angle-perpendicular-bisector-parallel-concyclic-geogebra-ipad-1.jpg) |
Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines,, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1478](../school-college/5/p1478-reuschle-terquem-theorem-3-cevians-circumcircle-concurrent-geogebra-ipad-1.jpg) |
Dynamic Geometry 1478.
Cyclocevian, Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1477](../school-college/5/p1477-miquel-pentagram-theorem-circumcircle-5-concyclic-geogebra-ipad-1.jpg) |
Dynamic Geometry 1477.
Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1476](../school-college/5/p1476-droz-farny-line-theorem-orthocenter-collinear-midpoint-geogebra-1.jpg) |
Dynamic Geometry 1476.
Droz-Farny Line Theorem, Triangle, Orthocenter, Perpendicular, Collinear Midpoints, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1475](../school-college/5/p1475-clifford-intersecting-circles-theorem-geogebra-1.jpg) |
Dynamic Geometry 1475.
Clifford Intersecting Circles Theorem, Step-by-step Illustration, GeoGebra, iPad. |
![Dynamic Geometry 1473](../school-college/5/p1473-kosnita-theorem-triangle-circumcenter-concurrent-geogebra-1.jpg) |
Dynamic Geometry 1473.
Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration. |
![Dynamic Geometry 1472](../school-college/5/p1472-cyclic-quadrilateral-perpendicular-diagonal-rectangle-geogebra-1.jpg) |
Dynamic Geometry 1472.
Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle, Step-by-step Illustration. |
![Dynamic Geometry 1471](../school-college/5/p1471-equilateral-triangle-incenter-concurrent-geogebra-ipad-1.jpg) |
Dynamic Geometry 1471.
Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration. |
![Dynamic Geometry 1470](../school-college/5/p1470-tangential-quadrilateral-circle-rhombus-geogebra-1.jpg) |
Dynamic Geometry 1470.
Tangential Quadrilateral, Incircles, Tangent,
Parallel, Rhombus, Step-by-step Illustration. |
![Dynamic Geometry 1469](../school-college/5/p1469-triangle-inradius-circumradius-midpoint-geogebra-1.jpg) |
Dynamic Geometry 1469.
Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances, Step-by-step Illustration. |
![Dynamic Geometry 1468](../school-college/5/p1468-steiner-theorem-triangle-inradius-exradius-circumradius-ipad-geogebra-1.jpg) |
Dynamic Geometry 1468.
Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii, Step-by-step Illustration. |
![Geometry Problem 1467](../school-college/5/p1467-square-rectangle-equal-area-geogebra-ipad-1.jpg) |
Geometry Problem 1467.
Square, Rectangle, Triangle, Area. |
![Geometry Problem 1466](../school-college/5/p1466-tangential-quadrilateral-newton-line-incenter-geogebra-ipad-1.jpg) |
Geometry Problem 1466.
Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1465](../school-college/5/p1465-tangential-quadrilateral-incenter-equal-sum-area-1.jpg) |
Geometry Problem 1465.
Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1464](../school-college/5/p1464-quadrilateral-midpoint-equal-sum-area-1.jpg) |
Geometry Problem 1464.
Quadrilateral, Interior Point, Midpoint of Sides, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1463](../school-college/5/p1463-parallelogram-equal-sum-area-triangles-geogebra-1.jpg) |
Geometry Problem 1463.
Parallelogram, Interior Point, Opposite Triangles with Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1461](../school-college/5/p1462-newton-theorem-gauss-line-quadrilateral-midpoint-side-diagonal-geogebra-1.jpg) |
Geometry Problem 1462.
Newton-Line, Newton-Gauss Line, Complete Quadrilateral, Midpoints of Sides and Diagonals,
Collinear Points. |
![Geometry Problem 1461](../school-college/5/p1461-quadrilateral-angle-30-congruence-1.jpg) |
Geometry Problem 1461.
Quadrilateral, Triangle, Angles, 30-60 Degree, Congruence, Auxiliary Lines. |
![Geometry Problem 1460](../school-college/5/p1460-newton-gauss-line-dynamic-complete-quadrilateral-1.jpg) |
Dynamic Geometry
1460.
Newton-Gauss Line, Complete Quadrilateral, Midpoints of Diagonals,
Collinear Points, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1459](../school-college/5/p1459-orthocenter-triangle-midpoint-perpendicular-1.jpg) |
Geometry
Problem 1459.
Two Triangles, Orthocenter, Midpoint, Perpendicular, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1458](../school-college/5/p1458-incircle-excircle-triangle-area-1.jpg) |
Geometry
Problem 1458.
Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1457](../school-college/5/p1457-orthocenter-triangle-similarity-circles-radii-1.jpg) |
Geometry
Problem 1457.
Altitudes, Circles, Similarity,
Product of the Inradii Lengths,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1456](../school-college/5/p1456-orthocenter-triangle-similarity-circles-geogebra-ipad-1.jpg) |
Geometry
Problem 1456.
Altitudes, Orthic Triangle, Circumcircle, Parallel lines, Similarity, Area,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1455](../school-college/5/p1455-nagel-point-incircle-congruence-geogebra-ipad-1.jpg) |
Geometry
Problem 1455.
Nagel Point, Excircles, Incircle, Congruent Segments,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1454](../school-college/5/p1454-cyclic-quadrilateral-altitude-geogebra-dynamic-ipad-1.jpg) |
Geometry
Problem 1454.
Intersecting Circles, Perpendicular Lines, Cyclic Quadrilateral, Collinear
Points,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1453](../school-college/5/p1453-circle-diameter-cyclic-quadrilateral-concyclic-1.jpg) |
Geometry
Problem 1453.
Two Semicircles, Cyclic Quadrilateral, Concyclic Points,
iPad. |
![Dynamic Geometry 1452](../school-college/5/p1452-cyclic-quadrilateral-sangaku-japanese-theorem-geogebra-1.jpg) |
Dynamic Geometry 1452.
Japanese Theorem, Sangaku,
Cyclic Quadrilateral, Incenter, Rectangle, Inradius. Step-by-step
illustration using GeoGebra. |
![Dynamic Geometry 1451](../school-college/5/p1451-orthopole-geogebra-triangle-perpendicular-concurrency-1.jpg) |
Dynamic Geometry 1451.
Orthopole of a Line. Step-by-step
illustration using GeoGebra. |
![Dynamic Geometry 1450](../school-college/5/p1450-ortholine-complete-quadrilateral-geogebra-dynamic-igs-1.jpg) |
Dynamic Geometry 1450.
Ortholine, Steiner Line, Complete Quadrilateral, Collineal Orthocenters. Step-by-step
illustration using GeoGebra. |
![Problem 1400](../school-college/4/p1400-triangle-rectangles-perpendicular-bisector-concurrency-1.jpg) |
Geometry Problem 1400. Triangle with three rectangles on the sides, Perpendicular Bisectors, Concurrency. |
![Problem 1391](../school-college/4/p1391-triangle-ratio-area-circumcircle-1.jpg) |
Geometry Problem 1391. Two Triangles, Ratio of Areas, Circumcircle. |
![Problem 1381 Parallelogram, Triangle, Area](../school-college/4/p1381-parallelogram-triangle-area-1.jpg) |
Geometry Problem 1381. Parallelogram, Exterior Point, Triangle, Area. |
![Equilic Quadrilateral, problem 1371](../equilic/equilic_quadrilateral_05_1.jpg) |
Geometry Problem 1371: Equilic
Quadrilateral 5 |
![Geometry problem 1361](../school-college/4/p1361-two-nine-point-circle-angle-tutor-sketch-sw-1.jpg) |
Geometry Problem 1361.
Triangle, Two Nine-Point Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps. |
![Geometry problem 1200](../school-college/2/p1200-square-triangles-90-degrees-area-1.jpg) |
Geometry Problem 1200
Square, Right Triangle, Perpendicular, 90 Degrees, Equal Areas. |
![Geometry Problem 900](../school-college/p900-circle-common-tangent-angle-congruence-secant-ipad-animation-1.jpg) |
Geometry Problem
900
Intersecting Circles, Common External Tangent, Secant, Angle, Congruence.
GeoGebra, HTML5 Animation for Tablets.
Solution. |
![de Gua's theorem](../solid/gua_theorem_170.jpg) |
Geometry Problem
800
de Gua's Theorem, Pythagorean theorem in 3-D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area.
Solution. |
![Equilateral triangle, Circle](../geometry/p700_equilateral_triangle_1.jpg) |
Geometry Problem
700.
Equilateral Triangle, Circle, Circular Segment, Midpoint of a side, Metric Relations.
Solution. |
![Circle Area, Tangent](../problem/p600_circle_area_1.jpg) |
Geometry Problem
600
Circle, Area, Tangent, Semicircle, Tangency Point.
Solution. |
![Circle, Diameter, Chord, Perpendicular](../problem/p500_circle_diameter_1.jpg) |
Geometry Problem 500.
Circle, Diameter, Chord, Perpendicular, Measure.
Solution. |
![Triangle, Angle Bisector, Circumcircle](../problem/p400_triangle_circle_17.jpg) |
Geometry Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence.
Solution. |
![Problem: Tangent to a circle](../problem/p300_circle_tangent_17.jpg) |
Geometry Problem 300.
Tangents to a circle, Secants, Square.
Solution. |
![Elearning 200: Right Triangle](../problem/p200_right_triangle_17.jpg) |
Geometry Problem 200.
Right Triangle, Incircle, Excircles, Points of
Tangency, Inradius.
Solution. |
![Circle area problem. Elearning 100](../problem/p100_circle_area_elearning_17.jpg) |
Geometry Problem 100.
Circle
Area, Archimedes' Book of Lemmas.
Solution. |
![Triangle, median, angles, degree](../problem/problem001_angle_triangle_1.jpg) |
Geometry Problem
1.
Triangle, median, angles, 45 degrees.
Solution |
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