Question

State your conclusion in the form of a theorem, and then prove the theorem using a two-column proof. When you write the proof, refer to the diagram you created in part A. It will be helpful to use point labels to state what is given and what you have to prove and to use those labels throughout the proof.

As part of the proof, you’ll have to construct a line segment connecting the top intersection point on one of the transversals with the lowest intersection point of the other transversal, thus forming two triangles. Take a screenshot of the construction, save it, and insert the image in the space below before you begin your written proof.

Answer 1

To prove the theorem, draw a line segment connecting the top intersection point on one transversal with the lowest intersection point on the other transversal, and then show that the corresponding and alternate interior angles are congruent.

Step-by-step explanation:

To prove the theorem:

1. Draw a line segment connecting the top intersection point on one transversal with the lowest intersection point on the other transversal.
2. Label the given points and the points connected by the line segment.
3. Prove that the corresponding angles are congruent.
4. Prove that the alternate interior angles are congruent.
5. Conclude that the lines are parallel.