Question

Ingrid wants to prove that the diagonals of a parallelogram bisect each other, using the figure below.

Which statement and reason should be part of her proof?


A

△QMR≅△SMT by ASA


B

△QMR≅△TMS by ASA


C

△QRS≅△SQT by SSS


D

△QRS≅△RTQ by SSS

Answer 1

B

Explanation:

Answer 2

A. ΔQMR ≅ ΔSMT by ASA

Explanation:

There are two types of angle, alternating and corresponding angles.

Both compare two equal angles, but unlike corresponding angles, alternating angles faces opposite direction.

∠Q = ∠S and ∠R = ∠T and are both alternating angles.