Answer:
If CE = AE , then ΔABE ≅ ΔC D E by H L theorem.
Step-by-step 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.
