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 example given, 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.

Q. Mohini made each of these shapes with 6 match sticks. Look at the angles inside the given shapes. Are the angles of these shapes with same number of sides same? Explain.

Question 134

In each of the given pairs of triangles in given figures, applying only ASA congruence criterion, determine which triangles are congruent. Also, write the congruent triangles in symbolic form.

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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.