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Question
In the given figure, which of the following triangles is congruent to △POQ ?
In the given figure, which of the following triangles is congruent to △POQ ?Open in App
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.
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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