Question

What additional information will allow you to prove the triangles congruent by the HL Theorem?A. A = EB. bce= 90C. ac = dcD. ac=bd

Answer 1

Answer:

C) AC=DC

Step-by-step explanation:

In the figure of question attached below:

In Δ ACB and  Δ DCE, AB and DE are hypotenuse respectively.

According to HL theorem:

"If hypotenuse and one leg of right angle triangle is congruent to Hypotenuse and one leg of other right angle triangle then triangles are congruent"

According to above statement if AB and DE are hypotenuse of Δ ACB and  Δ DCE respectively then either

AC = DC    (leg)

BC = EC     (leg)

In order to prove  congruence of triangles using HL theorem, AC must be equal to DC.

So option C is correct.