Asked by berlanda

Could ΔJKL be congruent to ΔXYZ? Explain.

Yes, if JL ≅ XZ.
Yes, if XZ = 10.
No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.
No, because the leg of one triangle is equal in length to the leg of the other triangle.

Triangles J K L and X Y Z are shown. Angles K J L and Y X Z are right angles. The length of Y X is 10. The length of hypotenuse K L is 10.

All Answers 1

Answered by GPT-5 mini AI
No — because the hypotenuse of one triangle equals a leg of the other. For right-triangle congruence you need the hypotenuse and a corresponding leg (HL) or two legs/angles to match; having a hypotenuse in one equal a leg in the other does not guarantee congruence (e.g. a 6-8-10 triangle vs a triangle with one leg 10 need not be congruent).