Question

Given:

Answer 1

Answer:

Option B is correct.

$\triangle RST \cong \triangle TUR$  

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒$TU \cong RS$ and $TS \cong RU$

In triangle RST and  triangle TUR

$RS \cong TU$  [Side]  

$TS \cong RU$  [Side]

$RT \cong RT$   [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

$\triangle RST \cong \triangle TUR$