# Solving Geometry Problems We describe a framework that combines deductive, numeric, and inductive reasoning to solve geometric problems.Applications include the generation of geometric models and animations, as well as problem solving in the context of intelligent tutoring systems.This fact gave rise to this study which aims to analyze students' difficulties in solving geometry problems based on Van Hiele thinking level.

We describe a framework that combines deductive, numeric, and inductive reasoning to solve geometric problems.Applications include the generation of geometric models and animations, as well as problem solving in the context of intelligent tutoring systems.This fact gave rise to this study which aims to analyze students' difficulties in solving geometry problems based on Van Hiele thinking level.

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Angles CBG and BGE form a straight line so they must add up to 180 degrees. Then, focusing on triangle BGE, we can solve that ∠BEG = 40 degrees, because it has to be 180 minus the known angles of 40 and 100. Since BG = BF, we know the opposite angles must be equal.

This means triangle CBG is an isosceles triangle, and BC = BG.

The number of nondeterministic choices in a partial program provides a measure of how close a problem is to being solved and can thus be used in the educational context for grading and providing hints.

We have successfully evaluated our methodology on 18 Scholastic Aptitude Test geometry problems, and 11 ruler/compass-based geometry construction problems.

We conclude that problem-solving ability on geometry is important to be taught to all students even though they are at different Van Hiele levels.

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