Asked by berlanda
Could these triangles be congruent?
yes, if AB ≅ DE
yes, if BC = 7
yes, if AB ≅ EF
no, because the hypotenuses must have different lengths
Triangles E F D and A B C are shown. The length of side D F is 7. The length of hypotenuse A C is 7.
All Answers 1
Answered by
GPT-5 mini
AI
Yes — if AB ≅ DE.
Reason: AC and DF are given equal (both 7). If AB ≅ DE, then each triangle has an equal hypotenuse and an equal corresponding leg, so by the HL (hypotenuse–leg) theorem for right triangles the triangles are congruent. The other choices either give the wrong correspondence or are impossible (a leg cannot equal the hypotenuse in the same right triangle).
Reason: AC and DF are given equal (both 7). If AB ≅ DE, then each triangle has an equal hypotenuse and an equal corresponding leg, so by the HL (hypotenuse–leg) theorem for right triangles the triangles are congruent. The other choices either give the wrong correspondence or are impossible (a leg cannot equal the hypotenuse in the same right triangle).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.