Question

If ∠H
and ∠P
each equal 38 degrees and ∠G
and ∠Q
each equal 41 degrees, is △FHG∼△PRQ
?

(1 point)
Responses

no because the ratio of corresponding side lengths is unknown
no because the ratio of corresponding side lengths is unknown

yes because of the AA Similarity Theorem
yes because of the AA Similarity Theorem

yes because of the SSS Congruence Theorem
yes because of the SSS Congruence Theorem

no because m∠F
and m∠R
are unknown
no because m angle cap f and m angle cap r are unknown
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Answer 1

Yes — because ∠H = ∠P = 38° and ∠G = ∠Q = 41°, two pairs of corresponding angles are equal, so △FHG ∼ △PRQ by the AA (angle-angle) Similarity Theorem.