Question

Given ABC, BD||AE, B is the midpoint of AC, and angle 1 is congruent to angle 2, we can conclude that angle D is congruent to angle E.

A. True
B. False

Answer 1

When line BD is parallel to AE and angle 1 is congruent to angle 2, by the Alternate Interior Angles Theorem, angle D is indeed congruent to angle E.

Step-by-step explanation:

The question pertains to whether angle D is congruent to angle E given a specific set of conditions in a geometric figure. The conditions stated that line BD is parallel to AE, B is the midpoint of AC, and that angle 1 is congruent to angle 2. If angle 1 is congruent to angle 2 and BD is parallel to AE, by the Alternate Interior Angles Theorem, which states that alternate interior angles are equal when two lines are parallel and cut by a transversal, angle D would be congruent to angle E. Therefore, the correct answer to the statement is A. True.