Question

Given below are the measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using the RHS congruence rule. In the case of congruent triangles, write the result in symbolic form.

$$\begin{gathered} △ABC△PQR \\ \angle B=90°,AC=8cm,AB=3cm\angle P=90°,PR=3cm,QR=8cm \end{gathered}$$

Answer 1

In $△ABCand△PQR$

$$\begin{gathered} AC=QR(8cmeach) \\ \angle B=\angle P(90°each) \\ AB=PR(3cm) \end{gathered}$$

$△ABC\cong △PQR(RHScriterion)$

RHS congruence RULE- It states that if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, the two triangles are CONGRUENT.