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Question

In the given figure, which of the following triangles is congruent to △POQ ?

A
△QOR
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B
△SOT
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C
△POT
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D
△ROS
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Solution

The correct option is D △ROS
If three sides of a triangle are equal to the corresponding sides of another triangle, then the triangles are congruent.


In the given figure,

RO = PO = 5 cm (given)
OS = OQ = 6 cm (given)
RS = PQ = 7 cm (given)

∴ All three sides of △ROS are equal to corresponding sides of △POQ.

Hence, both the triangles are congruent by SSS criteria of congruency.

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