Given PQ is parallel to TR and PT is parallel to QR.
Prove Triangle PQT is congruent to triangle RTQ
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Given,
PQ is parallel to TR and PT is parallel to QR.
To Prove: PQT is congruent to RTQ
Proof:In triangles PQT and RTQ, we have
PT = QR (Opp. sides of parallelogram)
PQ = TR (Opp. sides of Parallelogram)
QT = QT (Common)
Therefore,triangle PQT is congruent to triangle RTQ by SSS congruence rule.
PQ is parallel to TR and PT is parallel to QR.
To Prove: PQT is congruent to RTQ
Proof:In triangles PQT and RTQ, we have
PT = QR (Opp. sides of parallelogram)
PQ = TR (Opp. sides of Parallelogram)
QT = QT (Common)
Therefore,triangle PQT is congruent to triangle RTQ by SSS congruence rule.
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