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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