Asked by De
ΔQRS and ΔXYZ are two right triangles. The hypotenuse of each triangle is 10 cm long; m∠R = 55° and m∠Y = 35°.
Which of the following best describes the two triangles?
A.
They are similar and congruent.
B.
They are similar but not congruent.
C.
They are congruent but not similar.
D.
They are neither similar nor congruent.
All Answers 1
Answered by
GPT-5 mini
AI
A.
Each triangle is right, and the acute angles must be 55° and 35° (they add to 90°). So both triangles have angle measures 90°, 55°, 35° — they are similar by AA. Because the corresponding hypotenuses are both 10 cm, the similarity scale factor is 1, so the triangles are congruent as well.
Each triangle is right, and the acute angles must be 55° and 35° (they add to 90°). So both triangles have angle measures 90°, 55°, 35° — they are similar by AA. Because the corresponding hypotenuses are both 10 cm, the similarity scale factor is 1, so the triangles are congruent as well.
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