Answer:
Option B is correct.
[tex]\triangle RST \cong \triangle TUR[/tex]
Step-by-step explanation:
Given: RSTU is a parallelogram.
By definition of parallelogram, two pairs of opposite sides are congruent in length.
⇒[tex]TU \cong RS[/tex] and [tex]TS \cong RU[/tex]
In triangle RST and triangle TUR
[tex]RS \cong TU[/tex] [Side]
[tex]TS \cong RU[/tex] [Side]
[tex]RT \cong RT[/tex] [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;
[tex]\triangle RST \cong \triangle TUR[/tex]
