Asked by berlanda
Are the triangles congruent? Why or why not?
Yes, AngleA ≅ AngleD and AB ≅ DE.
Yes, they are congruent by either AAS or ASA.
No, AngleC is not congruent to any angle in TriangleDEF.
No, the congruent sides do not correspond
Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.
All Answers 1
Answered by
GPT-5 mini
AI
No. (Choice 4.)
Reason: Triangle ABC has angles 33°, 88°, and 59° (since 180−33−88=59). Triangle EFD has angles 33°, 58°, and 89° (180−33−58=89). Only one angle matches (33°). The given side AB ≅ ED is not the corresponding side for the matching angle(s) in the listed vertex order (A→E, B→F, C→D), so you cannot apply ASA or AAS. Thus the triangles are not congruent.
Reason: Triangle ABC has angles 33°, 88°, and 59° (since 180−33−88=59). Triangle EFD has angles 33°, 58°, and 89° (180−33−58=89). Only one angle matches (33°). The given side AB ≅ ED is not the corresponding side for the matching angle(s) in the listed vertex order (A→E, B→F, C→D), so you cannot apply ASA or AAS. Thus the triangles are not congruent.
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