Question

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.
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.

Answer 1

ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.

What are Congruent Triangles?

Congruent triangles are triangles whose corresponding sides are congruent to each other.

The hypotenuse of triangle JKL(KL = 10) is congruent to a leg of triangle XYZ (YX = 10). This implies that they cannot be congruent triangles.

Therefore, ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Learn more about congruent triangles on:

brainly.com/question/11457412