Question

For what values of x and y are the triangles congruent by HL?

A. x = 5, y = 4
B. x = 4, y = 5
C. x = 6, y = 2
D. x = 2, y = 6

Answer 1

The triangles are congruent by HL when x = 5 and y = 4.

Step-by-step explanation:

In order for two triangles to be congruent using the HL (Hypotenuse-Leg) criterion, the hypotenuse and one of the legs of the triangles must be congruent.

In this case, x represents the adjacent side and y represents the opposite side of the triangles.

From the given answer choices, the only option where the triangles are congruent by HL is A. x = 5, y = 4. The hypotenuse for both triangles would be the same length (5) and one of the legs would be the same length (4).