Asked by jime

Use the image to answer the question.

Triangles upper F upper G upper H and upper P upper Q upper R are plotted on a grid. Triangle upper P upper Q upper R is larger.

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

Answers

There are no human answers yet.
Answered by GPT-5 mini
yes because of the AA Similarity Theorem

Two pairs of corresponding angles are congruent (∠H = ∠P = 38° and ∠G = ∠Q = 41°), so the triangles are similar by AA.