Problem 509: Triangle, 120 Degrees, Angles, Congruence, Mind Map.
Level: High School, College, SAT Prep.
The drawing shows a triangle ABC with the angle ABC equal to 120
degrees and AD = BC. If angle C = 2x and angle ADB = 3x, find
Mind Map: "How to Solve It, A new aspect of Mathematical Method"
George Pólya's 1945 book "How to Solve It, A new aspect of Mathematical Method", is a book describing methods of problem solving. It suggests the following steps when solving a mathematical problem:
(1) First, you have to understand the problem.
(2) After understanding, then make a plan.
(3) Carry out the plan.
(4) Look back on your work. How could it be better?
Mind Map Help. To see a note: Hover over a yellow note button. To Fold/Unfold: click a branch. To Pan: click and drag the map canvas.
Geometry problem solving
Geometry problem solving is one of the most
challenging skills for students to learn. When a
problem requires auxiliary construction, the
difficulty of the problem increases drastically,
perhaps because deciding which construction to
make is an ill-structured problem. By
“construction,” we mean adding geometric figures
(points, lines, planes) to a problem figure that
wasn’t mentioned as "given."