PLEASE HELP!!!
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

PLEASE HELP 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 he class=

Respuesta :

Answer:

B △QMR≅△TMS by ASA

Step-by-step explanation: Could be wrong idk.

Answer:

Option A.

Step-by-step explanation:

Given: QRST is a parallelogram and M is the intersection of diagonals.

We know that opposite sides of a parallelogram are parallel and equal.

In △QMR and △SMT,

[tex]\angle MQR=\angle MST[/tex]    (Alternate interior angles)

[tex]QR=ST[/tex]        (Definition of parallelogram)

[tex]\angle QRM=\angle STM[/tex]    (Alternate interior angles)

Two corresponding angles and included sides are congruent.

[tex]\triangle QMR=\triangle SMT[/tex]        (ASA postulate)

Hence, the correct option is A.