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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 congruency.


  1. SAS

  2. SSA

  3. SSS

  4. ASA


Solution

The correct option is C

SSS


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

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