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Because the Third Angles Theorem would say, in this case, ∠L ≅ ∠Z. If all corresponding angles are congruent, then the figures will be similar to each other. B E. 68 90 22. D. AA Similarity Postulate. m∠Q = 180 - m∠R - m∠P.
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Because the Third Angles Theorem would say, in this case, ∠L ≅ ∠Z. If all corresponding angles are congruent, then the figures will be similar to each other.
B E 68 90 22 D AA Similarity Postulate m∠Q = 180 - m∠R - m∠P m∠H = 180 - m∠F - m∠G m∠Q = 180 - 53 - 27 m∠H = 180 - 78 - 31 m∠Q = 100 m∠H = 71 Since ∠Q is not congruent to ∠G, the triangles cannot be similar. ∠H ≅ ∠P, so ∆QPR ~ ∆GHF by the AA Similarity Postulate
RTV RQS RTV RQS R AA Similarity Postulate ONP OP LNM P AA Similarity Postulate
∠C ≅ ∠F because they're both right angles ∠CDB ≅ ∠FDE because theyr'e vertical angles So, ∆BCD ~ ∆EFD by the AA Similarity Postulate
angles AA Similarity Postulate 76 6ft 76in 48in (48)in (6ft)(76in) (6ft)(76in) x = 48in 9.5 9.5
4ft 9in = 4.75ft 4ft 9in 9.5ft x 4.75 = 6 9.5 x x = 3ft
