Question

what additional information would make it immediately possible to prove that triangles axb and cxb are congruent using the hl theorem? ax and cx are congruent. bx and dx are congruent. ax and cx are congruent. ac and bd are perpendicular. bd bisects angle abc

Explanation:

Step1: Recall HL - Hypotenuse - Leg theorem

The HL theorem states that if the hypotenuse and a leg of a right - triangle are congruent to the hypotenuse and a leg of another right - triangle, then the two right - triangles are congruent. In right - triangles AXB and CXB, BX is a common leg. To use the HL theorem, we need to show that the hypotenuses AX and CX are congruent.

Answer:

AX and CX are congruent.