Question

triangle proofs
complete the proof that △waz≅△yxb by ordering the statements shown.
show your thinking
△waz≅△yxb
∠wza≅∠yxb
wz∥xy
wz≅xy

Explanation:

Step1: Use parallelogram property

$\overline{WZ}\parallel\overline{XY}$ (Opposite sides of parallelogram are parallel)

Step2: Find equal - angle

$\angle WZA\cong\angle YXB$ (Alternate interior angles)

Step3: Use parallelogram side - congruence

$\overline{WZ}\cong\overline{XY}$ (Opposite sides of parallelogram are congruent)

Step4: Prove triangle congruence

$\triangle WAZ\cong\triangle YXB$

Answer:

$\overline{WZ}\parallel\overline{XY}$, $\angle WZA\cong\angle YXB$, $\overline{WZ}\cong\overline{XY}$, $\triangle WAZ\cong\triangle YXB$