Question

# Identify the rule by which the following triangles are congruent.

- RHS
- SSS
- SAS
- ASA

Hint:

### RHS Congruence Rule: Two right triangles are congruent if the hypotenuse and one side of one triangle are equal to the corresponding hypotenuse and one side of the other triangle.

## The correct answer is: RHS

### From Figure, in Δ PQR and Δ PSR,

∠Q = ∠S = 90° (given),

PQ = PS = 4cm (given), and

PR = PR (Common side)

Here, Two right triangles are congruent if the hypotenuse and one side of one triangle are equal to the corresponding hypotenuse and one side of the other triangle .

Hence, Δ PQR is congruent to Δ PSR by RHS Congruence rule.

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