Question

to prove hypotenuse - leg theorem what other information would you need on the following diagram. congruent legs congruent angles congruent hypotenuse right angles

Explanation:

Step1: Recall Hypotenuse - Leg Theorem

The Hypotenuse - Leg (HL) Theorem states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the two right triangles are congruent.

Step2: Check the given information

The diagram shows two right - angled triangles (since it's a rectangle divided by a diagonal, the angles at the corners of the rectangle are right angles). We already know that the hypotenuse (the diagonal) is common (so hypotenuse is congruent in a sense of being the same segment for the two right - triangles formed by the diagonal of the rectangle). The markings on the sides of the rectangle indicate that the legs (the sides of the rectangle) are congruent.

Answer:

Congruent Legs