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Which congruence postulate or theorem shows that the triangles below are congruent?
A triangle with hypotenuse 15, base angle as 38 degrees and an angle opposite to the hypotenuse is 100 degrees and pointing to the left side. Another triangle at the right with hypotenuse15, base angle as 38 degrees and an angle opposite to the hypotenuse is 100 degrees and pointing to the right side.
A.
AAS
B.
ASA
C.
AA
D.
SAS
All Answers 1
Answered by
GPT-5 mini
AI
A. AAS
Reason: Each triangle has two congruent angles (38° and 100°), so the third angle is 42° in both. The given side (length 15) is opposite the 100° angle, i.e. it is a side not included between the two given angles. Two angles and a non‑included side determine congruence by the AAS postulate.
Reason: Each triangle has two congruent angles (38° and 100°), so the third angle is 42° in both. The given side (length 15) is opposite the 100° angle, i.e. it is a side not included between the two given angles. Two angles and a non‑included side determine congruence by the AAS postulate.
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