In the following quadrilateral:
PQ = QR,
PS = RS
Find is △ PQS ≅ △ RQS ? Explain in detail.
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In the given quadrilateral PQRS:
PQ = QR (given)
PS = RS (given)
QS = QS (common side)
This shows that three sides of △ PQS are equal to three corresponding sides of △ RQS.
Hence, as per SSS Rule of Congruence both the given triangle are congruent.
And corresponding relation is as follows:
P ↔ R
Q ↔ Q
S ↔ S
Therefore, △ PQR ≅ △ RQS
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Related Question Examples
Study the following diagram and show which triangles are congruent.
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In the below diagram there are two triangles ABC and DEF.
AB = EF
BC = DF
AC = DE
Prove which of the following is true, explain.
△ ABC ≅ △ DEF
△ BAC ≅ △ FED
△ ABC ≅ △ EFD
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In the following quadrilateral:
PQ = QR,
PS = RS
Find is △ PQS ≅ △ RQS ? Explain in detail.
|
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