If two congruent triangles $△ A B C and △ P Q R$ are joined together so as to form a parallelogram, then which corresponding sides of the two triangles are joined together?

AB and PQ

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AB and QR

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BC and PQ

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AC and QR

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Solution

The correct option is A AB and PQ
Since the two triangles are congruent,
AB = PQ,
BC = QR, and
CA = RP

So, the two triangles can be joined along any of the corresponding sides to form a quadrilateral and that side will be one of the diagonals of the quadrilateral formed.

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Similar questions

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Suppose that we have two triangles ∆ ABC and∆PQR with their corresponding sides are AB and PQ, BC and QR, AC and PR. After we proved triangle ABC congruent to triangle PQR by SSS test then is it compulsory to write triangle ABC congruent to triangle PQR in a particular way that is their names must be in correspondence with each other.

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If two congruent triangles △ ABC and △ PQR are joined together so as to form a parallelogram, then which corresponding sides of the two triangles are joined together?

The correct option is A AB and PQSince the two triangles are congruent, AB = PQ, BC = QR, and CA = RP So, the two triangles can be joined along any of the corresponding sides to form a quadrilateral and that side will be one of the diagonals of the quadrilateral formed.

If two congruent triangles $△ A B C and △ P Q R$ are joined together so as to form a parallelogram, then which corresponding sides of the two triangles are joined together?

The correct option is A AB and PQ
Since the two triangles are congruent,
AB = PQ,
BC = QR, and
CA = RP

So, the two triangles can be joined along any of the corresponding sides to form a quadrilateral and that side will be one of the diagonals of the quadrilateral formed.