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question 6 (25 points) determine whether each pair of triangles is similar. explain your reasoning these triangles ____ similar. i can try to use the __ similarity theorem. i know that all the sides are __ i can try to set up equivalent fractions like $\frac{3}{7}=\frac{6}{10}=\frac{5}{12}$ if i cross multiply, i can see that $7\cdot6 =$ __, and $3\cdot10=$ ____. word bank: 42 wicked long side - angle - side angle - angle are not proportional are not proportional side - side - side 30 6.7
Step1: Check similarity using SSS
Use the Side - Side - Side (SSS) Similarity Theorem.
Step2: Check proportion of sides
Check if \(\frac{3}{7}=\frac{6}{10}=\frac{5}{12}\).
Step3: Cross - multiply
For \(\frac{3}{7}\) and \(\frac{6}{10}\), cross - multiply \(7\times6 = 42\) and \(3\times10=30\). Since \(42
eq30\), the sides are not proportional. So the triangles are not similar.
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are not, Side - Side - Side, not proportional, 42, 30