Question

in the figure TS parallel PQ and TS=PQ Prove that the triangles PQR and STR are congruent

Answer 1

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Answer 2

Hence proved.

Step-by-step explanation:

Given;

$TS\parallel PQ$ and $TS=PQ$ and Join $TQ$ and $PS$ which cuts at point $R$

From;

       $\bigtriangleup PQR$ and $\bigtriangleup STR$,

• $\angle STR=\angle PQR$ (Alternate angle)
• $TS=PQ$  (Given)
• $\angle TSR=\angle QPR$  (Alternate angle)

∴ $\bigtriangleup PQR$ ≅ $\bigtriangleup STR$

Hence proved.