The HL Congruence Theorem Quick Check 2 of 52 of 5 Items 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 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 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. Skip to navigation page 16 of 16 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To determine whether Malik can prove that the two right triangles are congruent, we can analyze the given information using the Hypotenuse-Leg (HL) Congruence Theorem.

The HL Theorem states that if two right triangles have equal lengths of their hypotenuses and one pair of corresponding legs, the two triangles are congruent.

In this case:

• Both triangles have a hypotenuse of 13 units, which satisfies the first condition of the HL theorem.
• The first triangle has a leg of 12 units, while the second triangle has a leg of 5 units. Since the legs are not equal, this leads us to realize that we cannot use the HL theorem just yet as we need one corresponding leg to be equal.

Thus, Malik cannot prove the triangles are congruent using the HL theorem as is because the legs do not fulfill the necessary condition.

The correct response would be: He would need additional information to prove that the two triangles are congruent.