Question

triangle congruence could △jkl be congruent to △xyz? explain. yes, if (overline{jl}congoverline{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.

Explanation:

Step1: Identify right - angled triangles

Both $\triangle{JKL}$ and $\triangle{XYZ}$ are right - angled triangles. In $\triangle{JKL}$, $KL = 10$ is the hypotenuse. In $\triangle{XYZ}$, $YZ=10$ is the hypotenuse.

Step2: Recall congruence criteria

For right - angled triangles, we have HL (Hypotenuse - Leg) congruence criterion. For $\triangle{JKL}\cong\triangle{XYZ}$, the hypotenuses must be equal and one pair of legs must be equal. Here, the hypotenuse of one triangle cannot be equal to the leg of the other triangle for congruence.

Answer:

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