Question

Name the three properties you would need for the following proof? Given:

1.) Angles 1 and 2 are supplementary.
2.) Angles 3 and 4 are supplementary.
3.) Angles 1 and 4 are congruent.

Answer 1

The three properties needed for this proof are the Angle Addition Property of Equality, Transitive Property of Equality, and Transitive Property of Congruence.

Step-by-step explanation:

The three properties needed for this proof are:

1. Angle Addition Property of Equality: This property states that if two angles are supplementary to the same angle, then they are congruent to each other. In this case, angles 1 and 2 are supplementary, so they are congruent to each other.
2. Transitive Property of Equality: This property states that if two angles are congruent to the same angle, then they are congruent to each other. In this case, angles 1 and 4 are congruent, so they are congruent to each other.
3. Transitive Property of Congruence: This property states that if two angles are congruent to the same angle, then they are congruent to each other. In this case, angles 4 and 3 are supplementary, so they are congruent to each other.