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ASA Criteria for Congruency of Triangles

Line a is par...

Question

Line a is parallel to line b and line c is parallel to line d. Then,

QR = SP

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PQ = RS

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QR = PR

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SP = RP

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Solution

The correct options are
A QR = SP
B PQ = RS
Consider $△$ PQR and $△$ RSP
$∠$ QRP = $∠$ SPR (alternate angles)
$∠$ RPQ = $∠$ PRS (alternate angles)
side PR = side RP (common )

$△$ PQR $≅$ $△$ RSP by Hence, by ASA criterion for congruency of triangles.

Hence
QR = SP (corresponding parts of congruent triangles)
PQ = RS (corresponding parts of congruent triangles)

Suggest Corrections

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