Question

Given:

RSTU is a parallelogram.

SXT

UXR
SXR
UXT

SEE PICTURE

Answer 1

Option A) ΔSXT≅ΔUXR

>:3

Answer 2

(A)ΔSXT≅ΔUXR

Explanation:

It is given that RSTU is a parallelogram, thus

From ΔSXT and ΔUXR, we have

UR=TS (Opposite sides of parallelogram are equal)

SX=UX (Diagonals of parallelogram bisect each other)

RX=TX (Diagonals of parallelogram bisect each other)

Thus, by SSS rule of congruency,

ΔSXT≅ΔUXR

Hence, option A is correct.