Question

In a rectangle $PQRS$, $QS$ is a diagonal. Then $\Delta PQS......\Delta RSQ$

• A. is similar to
• B. is not equal to
• C. is congruent to
• D. is not congruent to

Answer 1

Answer: (C)

is congruent to

In a rectangle $PQRS$, $QS$ is a diagonal.
We know that , in a rectangle opposite sides are equal.
$\therefore PQ=SR$
Also, $\angle R=\angle P={90}^o$
Ans $QS$ is the hypotenuse for both right angled triangles $PQS$ and $RSQ$.
$\therefore$ according to R.H.S condition for congruence, $\Delta PQS\cong \Delta RSQ$.