Question

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 would need additional information to prove that the two triangles are congruent. He would need additional information to prove that the two triangles are congruent. 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 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.

Answer 1

Malik could prove that the two triangles are congruent by applying the concept of HL (Hypotenuse-Leg) congruence. Since both triangles have a hypotenuse of 13 units, and one leg of the first triangle is 12 units while the leg of the second triangle is 5 units, he can use the hypotenuse and one leg from each triangle to demonstrate that they meet the conditions of the HL congruence theorem.

However, to completely prove congruence, he would need to verify that the triangles really are congruent in terms of their angles and dimensions by ensuring that they have the appropriate second leg values (which he can find using the Pythagorean theorem).

In summary, the most accurate response is: He would need additional information to prove that the two triangles are congruent. This is because we need both legs of each triangle to determine their congruence through any theorem accurately.