Rahul found 3 pairs of wooden ice-cream sticks in which the sticks in each pair are of the same length as shown below.

Rahul took one stick each from each pair and made a triangle. Likewise, his friend Arjun made another triangle which looked exactly same with the remaining sticks. They realized both these triangles have the same perimeter and are congruent under the ___________ criterion of congruence.

SAS

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SSA

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SSS

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ASA

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Solution

The correct option is C
SSS

Since the lengths of the corresponding sides of the triangles constructed by Rahul and Arjun are same, the triangles are congruent using SSS congruence condition. Thus, perimeters of both the triangles are equal.

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Similar questions

Rahul found 3 pairs of wooden ice-cream sticks in which the sticks in each pair are of the same length as shown below.

Rahul took one stick each from each pair and made a triangle. Likewise, his friend Arjun made another triangle which looked exactly same with the remaining sticks. They realized both these triangles have the same perimeter and are congruent under the ___________ criterion of congruence.

Rahul found 3 pairs of wooden ice-cream sticks in which the sticks in each pair are of the same length as shown below.

Q. In each of the examples given below, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same signs. Observe the figures and state the test by which the triangles in each pair are congruent.

A student is given three sticks of length 15 CM 8 cm and 5 cm respectively his friend asked him to make a triangle with the help of these sticks and then find its area

Q. Rahul made a pattern having 7 same letters of the alphabet. He asked his sister Diya the number of sticks used for a single letter, if he had used 56 sticks to make the pattern.

What would have been Diya's reply if she was correct?

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The correct option is C SSS Since the lengths of the corresponding sides of the triangles constructed by Rahul and Arjun are same, the triangles are congruent using SSS congruence condition. Thus, perimeters of both the triangles are equal.

The correct option is C
SSS

Since the lengths of the corresponding sides of the triangles constructed by Rahul and Arjun are same, the triangles are congruent using SSS congruence condition. Thus, perimeters of both the triangles are equal.