Question

Given:

RSTU is a parallelogram.



RST

UXR
TUR
TXU

See Picture

Answer 1

Answer is below.

Explanation:

Given: RSTU is a parallelogram.

Triangle RST congruent to triangle TUR.

Hope this helps.

Answer 2

Option B is correct.

`\triangle RST \cong \triangle TUR`

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`