Which shows two triangles that are congruent by the SSS congruence theorem?

Triangles A B C and D E C are connected at point C. Angles A B C and C E D are right angles. The lengths of sides A B and E D are congruent.
Triangles A B C and D E C are connected at point C. The lengths of sides A B and D E are congruent. The lengths of sides B C and C D are congruent.
Triangles A B C and D E C are connected at point C. The lengths of sides A C and C E are congruent. Angles B A C and C E D are congruent.
Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent. The lengths of B C and D C are congruent.

Both triangles have three pairs of congruent sides and can be proven to be congruent by the SSS Congruence Theorem (Option D is correct).

What is the SSS Congruence Theorem?

The SSS Congruence Theorem states that if two triangles have three pairs of congruent sides, both triangles are congruent.

The image attached below shows ΔABC and ΔADC that share a common side AC.

It also shows AB ≅ AD and BC ≅ DC.

Therefore, the diagram shows that ΔABC and ΔADC have three pairs of congruent sides and can be proven to be congruent by the SSS Congruence Theorem (Option D is correct).

Learn more about the SSS Congruence Theorem on: https://brainly.com/question/4280133