Question

Part B Once the construction is complete, which of the reasons listed contribute to proving the validity of the construction? When two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. When two lines are cut by a transversal and the vertical angles are congruent, the lines are parallel. definition of segment bisector D definition of an angle bisector

Answer 1

The reasons that contribute to proving the validity of the construction include congruent corresponding angles, congruent vertical angles, and the definitions of segment bisector and angle bisector.

Step-by-step explanation:

When two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

When two lines are cut by a transversal and the vertical angles are congruent, the lines are parallel.

The definition of segment bisector and the definition of an angle bisector are other reasons that contribute to proving the validity of the construction.

Answer 2

The validity of the construction is proven by the corresponding angles theorem, the vertical angles theorem, the definition of a segment bisector, and the definition of an angle bisector.

Step-by-step explanation:

The reasons that contribute to proving the validity of the construction are:

When two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel. This is known as the corresponding angles theorem.

When two lines are cut by a transversal and the vertical angles are congruent, the lines are parallel. This is known as the vertical angles theorem.

Definition of segment bisector: If a segment is divided into two equal parts, then the line segment that divides it is called a segment bisector.

Definition of an angle bisector: If an angle is divided into two equal angles, then the line or ray that divides it is called an angle bisector.