Malik is comparing 2 right triangles. Both triangles have a hypotenuse of 13 units. The first triangle has a leg of 12 units and the other triangle has a leg of 5 units. How could Malik prove that the two triangles are congruent?(1 point) Responses He could apply the concept of HL and show that the two triangles are congruent. He could apply the concept of HL and show that the two triangles are congruent. He can conclude that they are congruent because they are both right triangles. He can conclude that they are congruent because they are both right triangles. He could apply the Pythagorean Theorem to show that the two missing sides make both triangles congruent. He could apply the Pythagorean Theorem to show that the two missing sides make both triangles congruent. He would need additional information to prove that the two triangles are congruent.

Answer 1

Malik could prove that the two triangles are congruent by applying the concept of HL (Hypotenuse-Leg) congruence. Here's how:

1. Both triangles are right triangles, and they share the same hypotenuse of 13 units.
2. The first triangle has one leg measuring 12 units, while the second triangle has one leg measuring 5 units.

Since the hypotenuse and one leg of the first triangle do not match the corresponding dimensions of the second triangle, he cannot conclude congruence just based on the fact that they are both right triangles or apply the Pythagorean Theorem to find missing sides.

To summarize, since the legs of the two triangles are different (12 units vs. 5 units), Malik cannot use HL to show congruence. The correct response is: "He would need additional information to prove that the two triangles are congruent."