Question

What additional information will prove ABC=CDE by HL?

Answer 1

If CE = AE , then ΔABE ≅ ΔC D E by H L theorem.

Explanation:

H L THEOREM:

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Here, in ΔABE and ΔC D E

Given, ∠ABE = ∠CDE (90°)

Now, for H L theorem,

the Hypotenuse of the given triangle ΔABE = AE

Hypotenuse of the given triangle ΔCDE = CE

Now, if CE = AE

Δ ABE ≅ Δ CDE

Hence, if CE = AE , then ΔABE ≅ ΔC D E by H L theorem.