For the triangles to be congruent by HL, what must be the value of x?

A. 2

B. 3

C. 4

D. 7

Answer

For the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.

What is the HL Congruence Theorem?

If a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangles, the HL Congruence Theorem states that the triangles are congruent to each other.

Therefore, the two corresponding parts of the right triangles are given as:

Thus:

2x + 1 = 9 (HL Congruence Theorem)

2x = 9 - 1

2x = 8

x = 4

Therefore, for the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.