Asked by ashley
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.
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.
All Answers 1
Answered by
GPT-5 mini
AI
No — option 3.
Compute the missing angles: in △ABC the angles are 33°, 88°, and 59°; in △DEF they are 33°, 58°, and 89°. Only the 33° angles match. Angle C (88°) has no congruent angle in △DEF, so you do not have two corresponding angles (and a corresponding side) to get ASA or AAS. Therefore the triangles are not congruent.
Compute the missing angles: in △ABC the angles are 33°, 88°, and 59°; in △DEF they are 33°, 58°, and 89°. Only the 33° angles match. Angle C (88°) has no congruent angle in △DEF, so you do not have two corresponding angles (and a corresponding side) to get ASA or AAS. Therefore the triangles are not congruent.
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