If- PS is parallel to QR and PS - QR- then- which of the given pair of triangles are congruent-A- SRT and RQTB- PST and RQTC- PTS and SRQD- PST and SRT

The correct option is B PST and RQTConsider nbsp; PST and nbsp;RQT, ∠SPT = ∠QRT (alternate angles) ∠TSP = ∠TQR (alternate angles) PS = RQ (given) Hence ...

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Byju's Answer

Standard VII

Mathematics

ASA Criteria for Congruency of Triangles

If, PS is par...

Question

If, PS is parallel to QR and PS = QR, then, which of the given pair of triangles are congruent?

△

PST and

△

RQT

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△

PTS and

△

SRQ

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△

PST and

△

SRT

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△

SRT and

△

RQT

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Solution

The correct option is A $△$ PST and $△$ RQT
Consider $△$ PST and $△$ RQT,
$∠$ SPT = $∠$ QRT (alternate angles)
$∠$ TSP = $∠$ TQR (alternate angles)
PS = RQ (given)

Hence $△$ PST $≅$ $△$ RQT

The other pair of triangles given cannot be proved congruent from the given set of conditions.

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If, PS is parallel to QR and PS = QR, then, which of the given pair of triangles are congruent?

The correct option is A △PST and △RQTConsider △PST and △RQT, ∠SPT = ∠QRT (alternate angles) ∠TSP = ∠TQR (alternate angles) PS = RQ (given) Hence △PST ≅ △RQT The other pair of triangles given cannot be proved congruent from the given set of conditions.