Question

Complete the proof that △ACB≅△ECD.


Statements Reasons
1.
AC≅EC

2.
CD≅CB

3.
∠ACB≅∠ECD

4.
△ACB≅△ECD

Answer 1

Answer:

1. Given

2. Given

3. Given

4. By side-angle-side (SAS) congruence theorem

Step-by-step explanation:

In the given scenario, we have two triangles where two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle. According to the side-angle-side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Therefore, in this case, we can conclude that the two triangles are congruent by the side-angle-side (SAS) congruence theorem.