Could ΔJKL be congruent to ΔXYZ? Explain. Yes, if JL ≅ XZ. Yes, if XZ = 10. No, because the hypotenuse of one triangle is equal

Question

2 years ago

9

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.

Mathematics

2 answers:

Andru [333] · Answer 1 · 2023-08-14T05:49:26+03:00

Andru [333]2 years ago

7 0

No because the hypotenuse is greater than the legs

cestrela7 [59] · Answer 2 · 2023-08-14T04:40:38+03:00

Answer: No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.

Explanation

Two triangles are congruent if their corresponding sides are congruent.

In this case one leg of the ΔXYZ measures 10 (XY=10), then its hypotenuse (the largest side in a rectangle side) must measure more than 10.

The hypotenuse of the two triangles are different: hypotenuse of ΔJKL measures (KL=10) and the hypotenuse of ΔXYZ measures more than 10 (YZ>10), then they are not congruent and the triangles are not congruent