Questions: Select the reason why these triangles are similar. If they are not, select "Not similar."

Select the reason why these triangles are similar. If they are not, select "Not similar."
Transcript text: Select the reason why these triangles are similar. If they are not, select "Not similar."
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Solution

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Solution Steps

Step 1: Identify corresponding sides

The large triangle has sides 15, 10, and an unknown length. The smaller, yellow triangle has sides 6, 4, and an unknown length.

Step 2: Check for Similarity

We see that the ratio of corresponding sides is:

\( \frac{15}{6} = \frac{5}{2} \)

\( \frac{10}{4} = \frac{5}{2} \)

Since two pairs of corresponding sides are proportional, and the included angles are congruent (marked with the same symbol), the two triangles are similar by SAS (Side-Angle-Side) similarity.

Final Answer

\\(\boxed{\text{SAS}}\\)

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