Final answer:
The statement is False. HL (Hypotenuse-Leg) is a congruence shortcut only for right triangles, not for all triangles.
Step-by-step explanation:
The statement is False. HL (Hypotenuse-Leg) is a congruence shortcut only for right triangles, not for all triangles. In order to prove that two triangles are congruent using HL, the following conditions must be met:
- The two triangles must have a right angle.
- The hypotenuse of one triangle must be congruent to the hypotenuse of the other triangle.
- One leg of one triangle must be congruent to the corresponding leg of the other triangle.
If these conditions are met, then the triangles can be proven to be congruent using the HL congruence shortcut.