Question

Which congruency criterion could be used only to check for congruency of two right-angled triangles?

• A. ASA congruency
• B. SAS congruency
• C. RHS congruency
• D. SSS congruency

Answer 1

The correct option is C

RHS congruency

We know, by definition, that for RHS congruence condition to be satisfied, the two triangles must be right-angled in nature, their hypotenuse must be equal and one side of a triangle should be equal to the corresponding side of the second triangle.

So, in $△PRQ$ and $△ACB$

Hypotenuse, $PQ=AB$

Side, $QR=BC$ and

$\angle PRQ=\angle ACB$

Therefore, $△PRQ\cong △ACB$ by $RHS$ congruency.