Question

Practice with congruency theorems and congruency theorem can be used to prove that Δabd ≅ Δdca?

Answer 1

To prove that triangles ΔABD and ΔDCA are congruent, we can use the Side-Angle-Side (SAS) congruence theorem.

Step-by-step explanation:

To prove that triangles ΔABD and ΔDCA are congruent, we can use the congruence theorem. In this case, we can use the Side-Angle-Side (SAS) congruence theorem.

1. First, we need to show that side AD is congruent to side CD. This can be done by showing that segment AD is congruent to segment DC.
2. Next, we need to show that angle ABD is congruent to angle CAD.
3. Finally, we need to show that side BD is congruent to side CA.

By satisfying all three conditions, we have proven that ΔABD is congruent to ΔDCA.