Proposed Geometry Problem 105. Angles, Triangle. College, SAT Prep. Elearning, Online math tutor

Problem 105. Angles, Triangle. Level: High School, SAT Prep, College

In the figure below, given a triangle ABC, angle ABD = a , angle BAD = angle DAC = b , angle BCD = 90 - a - b , and angle ACD = x. Prove that x = a.
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Geometry Problem, Elearning 105

FACTS AND HINTS:

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."

Geometry Problem. Elearning 105.

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Last updated: May 23, 2008