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Right Triangle Similarity

Question 11 • *CR CCSS Math 2 S2 [M2960OX]

Consider ΔABC ~ ΔXYZ. | What is the value of tan(A)? | What is the value of tan(X)? | What is true about the two tangent ratios?

Answer
A
tan(X) > tan(A)
B
tan(X) < tan(A)
C
tan(X) = tan(A)

Explanation

Because ΔABC ~ ΔXYZ, corresponding angles are equal, so ∠A = ∠X. The tangent ratio depends only on the angle, so tan(A) = tan(X). Therefore, the true statement is “tan(X) = tan(A).”

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