Perpendicular Bisector, Theorems and Problems: Table of Content
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![Perpendicular Bisector Index](perpendicular_bisector_i_1.jpg) |
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![Perpendicular Lines Index](../geometry/perpendicular_lines_index_1.jpg) |
Perpendicular lines.
Teorems and Problems.
Perpendicular Bisector. |
![Midpoint Theorems and Problems Index](../geometry/midpoint_index_17.jpg) |
Midpoints.
Theorems and Problems |
![Isosceles Triangle Index](../geometry/isosceles_triangle_index_17.jpg) |
Isosceles Triangle.
Perpendicular Bisector. |
![Rhombus, Rhombuses, Rhombi](../geometry/rhombus_index_17.jpg) |
Rhombus.
The diagonals of a rhombus are perpendicular bisectors of one another. |
![Circumcenter Index](../center/circumcenter_index_17.jpg) |
Circumcenter. Index.
The circumcenter of a triangle is the intersection of any two of the three perpendicular bisectors.
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![Dynamic Geometry: Circumcenter and Circumcircle of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/geogebra-triangle-circumcenter-circumcircle-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry: Circumcenter and Circumcircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
![Congruence](../geometry/congruence_geometry_17.jpg) |
Congruence. Index.
Any point on a perpendicular bisector of a segment is equidistant from the endpoints of the segment.
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![Carnot's Theorem, Acute Triangle](../geometry/carnot_acute_1.jpg) |
Carnot's
Theorem in an Acute Triangle.
Perpendicular Bisectors. |
![Carnot's Theorem, Obtuse Triangle](../geometry/carnot_obtuse_triangle_1.jpg) |
Carnot's
Theorem in an Obtuse Triangle.
Perpendicular Bisectors. |
![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 |
![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. |
![Problem 1441](../school-college/5/p1441-intersecting-circles-perpendicular-bisector-parallel-1.jpg) |
Geometry Problem 1441.
Intersecting Circles, Perpendicular Bisector,
Parallel Lines, Art, Poster, Typography, iPad Apps. |
![Problem 1440](../school-college/5/p1440-intersecting-circles-perpendicular-bisector-collinearity-1.jpg) |
Geometry Problem 1440.
Intersecting Circles, Perpendicular Bisector, Collinear Points, Art, Poster, Typography, iPad Apps. |
![Problem 1419](../school-college/5/p1419-triangle-incenter-inradius-circumcircle-distance-sketch-ipad-1.jpg) |
Geometry Problem 1419. Triangle, Altitude, Circumcircle, Incenter, Inradius, Perpendicular, Angle Bisector, Midpoint. |
![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. |
![Geometry problem 1348](../school-college/4/p1348-concentric-circles-equilateral-triangle-tutoring-1.jpg) |
Geometry Problem 1348. Three Concentric Circles, Equilateral Triangle, Perpendicular Bisector, Congruence. |
![Geometry problem 1201](../school-college/3/p1201-triangle-interior-perpendicular-bisector-side-area-1.jpg) |
Geometry Problem 1201
Triangle, Interior Perpendicular Bisector, Midpoint, Area. |
![Geometry Problem 1032 Apollonius LPP](../school-college/1/p1032-apollonius-points-circle-tangent-line-lpp-math-1.jpg) |
Geometry Problem
1032: Apollonius Problem LPP.
Circle Tangent to One Line and passing through Two Points. |
![Geometry problem 1142](../school-college/2/p1142-variable-geometry-cyclic-quadrilateral-circle-isogonal-circumcenter-1.jpg) |
Geometry Problem 1142.
Cyclic Quadrilateral, Isogonal Lines, Circle, Center, Radius, Perpendicular Bisector, Circumcenter. |
![Geometry Problem 1113](../school-college/2/p1113-triangle-perpendicular-bisector-concyclic-circle-math-1.jpg) |
Geometry Problem
1113.
Triangle, Perpendicular Bisector, 90 Degrees, Circle, Concyclic Points, Cyclic Quadrilateral. |
![Geometry Problem 1004](../school-college/1/p1004-triangle-squares-perpendicular-bisectors-concurrent-math-1.jpg) |
Geometry Problem
1004.
Triangle with Squares, Perpendicular Bisectors, Concurrent Lines. |
![Geometry Problem 1001](../school-college/1/p1001-triangle-circumcircle-tangent-perpendicular-collinear-math-1.jpg) |
Geometry Problem
1001.
Triangle, Circumcircle, Perpendicular, Perpendicular Bisector, Tangent, Collinear Points. |
![Geometry Problem 995](../school-college/p995-quadrilateral-perpendicular-diagonal-bisector-parallel-1.jpg) |
Geometry Problem 995.
Quadrilateral, Perpendicular Diagonals, Perpendicular Bisector, Parallel. |
![Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector](../school-college/p859-triangle-angle-45-18-degrees-congruence-1.jpg) |
Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector. |
![Triangle, 60 Degrees, Concurrent lines](../problem/p663_triangle_60_degrees_1.jpg) |
Geometry Problem 663.
Scalene Triangle, 60 Degrees, Altitude, Angle Bisector, Perpendicular Bisector. |
![Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity](../school-college/p842-triangle-centroid-four-circumcenter-perpendicular-similarity-1.jpg) |
Geometry Problem 842
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity. |
![Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity](../school-college/p841-triangle-centroid-circumcenter-perpendicular-similarity-1.jpg) |
Geometry Problem 841
Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity. |
![Triangle, Circumcircle, Perpendicular Bisector](../problem/p538_triangle_circle_1.jpg) |
Problem 538.
Triangle, Perpendicular Bisector, Circumcircle, Midpoint. |
![Area of a triangle, Circumcircle, Angle Bisector](../problem/p401_area_triangle_17.jpg) |
Proposed Problem 401.
Area, Triangle, Angle bisector, Circumcircle, Perpendicular bisector,
Congruence. |
![Triangle, Angle Bisector, Circumcircle](../problem/p400_triangle_circle_17.jpg) |
Proposed Problem 400.
Triangle, Angle bisector, Circumcircle, Perpendicular, Congruence. |
![](../problem/p078_circle_angles_17.jpg) |
Proposed Problem 78: Angles of a Circle.
Perpendicular and parallel lines, Midpoint, Diameter, Chord, Cyclic
quadrilateral, Congruence, Perpendicular Bisector.
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Email | By Antonio Gutierrez
Last updated: Sep 12, 2023
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