Question

Proof complete the two-column proof by dragging the statements and reasons. given: ∠2≅∠4 prove: ∠1≅∠3

Answer 1

To prove that angles 1 and 3 are congruent, we can use the fact that angles 2 and 4 are congruent.

Step-by-step explanation:

To prove that ∠1 ≅ ∠3, we can use the fact that ∠2 ≅ ∠4 as given. Here is a step-by-step proof:

1. Given: ∠2 ≅ ∠4
2. By the Transitive Property of Congruence, if two angles are congruent to the same angle, then they are congruent to each other. Therefore, ∠1 ≅ ∠2
3. Using the Transitive Property of Congruence again, if two angles are congruent to the same angle and one of those angles is congruent to another angle, then the other angle must also be congruent to the first angle. Therefore, ∠1 ≅ ∠3
4. Thus, we have proved that ∠1 ≅ ∠3, using the given information.