Question

ab = length of ab

1. if two angles are congruent, then their measures are equal.

given:
prove:
sketch:

Explanation:

Step1: Define congruent angles

By definition, congruent angles are angles that have the same measure.

Step2: State given and prove

Given: Two angles are congruent.
Prove: Their measures are equal. This is directly from the definition of congruent angles.

Step3: Sketch

Draw two angles, say $\angle A$ and $\angle B$. Mark them with the same number of arcs to indicate they are congruent. Label their measures as $m\angle A$ and $m\angle B$. Since they are congruent, we know $m\angle A=m\angle B$.

Answer:

Given: Two angles are congruent.
Prove: Their measures are equal.
Sketch: Draw two congruent - marked angles with equal - measure labels.