Question

Line segment AB was translated 2 units right and 7 units down to create line segment CD. A transversal intersects the two line segments, as shown in the graph below.
Select all of the true statements.

--Since ∠3 and ∠4 are corresponding angles, they are congruent.
-- Line segments AB and CD are parallel.
--Since ∠1 and ∠2 are corresponding angles, they are congruent.
-- Line segments AB and CD are perpendicular.
--Since ∠1 and ∠4 are alternate interior angles, they are congruent.
---Since ∠1 and ∠3 are corresponding angles, they are congruent.

Answer 1

These are correct statements:

- Line segments AB and CD are parallel.

- Since ∠1 and ∠3 are corresponding angles, they are congruent.
These are incorrect statements:

- Since ∠3 and ∠4 are corresponding angles, they are congruent. They are not corresponding angles, they are supplementary meaning they, together, equal 180.

- Since ∠1 and ∠2 are corresponding angles, they are congruent. These are also not corresponding, they are supplementary.

- Line segments AB and CD are perpendicular. They are not crossing over each other.

- Since ∠1 and ∠4 are alternate interior angles, they are congruent. They are not corresponding, they are supplementary. ∠1 and ∠3 are corresponding just like ∠2 and ∠4.