|
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.
 |
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."
|
