Questions: 4/10 SKILL LEVEL: Exploring (i) SSS stands for Side Side Side. If three pairs of sides of two triangles are proportional, then the triangles are similar.

4/10
SKILL LEVEL:
Exploring (i)

SSS stands for Side Side Side. If three pairs of sides of two triangles are proportional, then the triangles are similar.
Transcript text: 4/10 SKILL LEVEL: Exploring (i) SSS stands for Side Side Side. If three pairs of sides of two triangles are proportional, then the triangles are similar.
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Solution

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The statement provided is incorrect. The correct criterion for triangle similarity involving sides is known as the Side-Side-Side (SSS) Similarity Theorem. According to this theorem, if the corresponding sides of two triangles are proportional, then the triangles are similar.

Let's break down the statement:

  1. SSS stands for Side Side Side: This part is correct. SSS is a criterion used in both congruence and similarity of triangles.

  2. If three pairs of sides of two triangles are proportional, then the triangles are similar: This part is correct. This is the SSS Similarity Theorem, which states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

In summary, the statement is correct in its explanation of the SSS Similarity Theorem. If the sides of two triangles are proportional, the triangles are indeed similar.

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