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Question
7 multiple answer 1 point which similarity rule, if any, can be used to prove these two triangles are similar? 9 9 6 6 none aa- hl- sss-
Step1: Identify triangle type
Both are right triangles (1 right angle each).
Step2: Calculate leg ratios
First triangle legs: $9,9$. Second triangle legs: $6,6$.
Ratio of corresponding legs: $\frac{9}{6}=\frac{3}{2}$, $\frac{9}{6}=\frac{3}{2}$.
Step3: Match similarity rule
For right triangles, if corresponding legs are proportional, it fits SSS similarity (all 3 sides will be proportional: hypotenuse ratio is also $\frac{3}{2}$, since hypotenuse of first triangle is $9\sqrt{2}$, second is $6\sqrt{2}$, $\frac{9\sqrt{2}}{6\sqrt{2}}=\frac{3}{2}$).
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