Question

Select the correct answer. Given: Prove that lines and have the same slope. A vertical and horizontal line intersect at f. A cross line intersects the left-side horizontal line at a and the upper-side vertical line at b. Another cross line intersects the bottom-side vertical line at d and the right-side horizontal line at c. Construct a vertical transversal and horizontal transversal to the lines and that intersect each other at f. Label the points of intersection of the parallel lines as a, b, c, and d. Which step is missing?

1) Statement: Reason:
2) a. Given: Alternate Interior Angles Theorem
3) b. Statement: Reason:
4) c. Statement: Reason:
5) d. Statement: Reason:

Answer 1

The missing step is to state that the slopes of lines a and b are equal because they are parallel lines.

Step-by-step explanation:

The missing step is:

1. Statement: The slopes of two parallel lines are equal.
2. Reason: By the definition of parallel lines, they do not intersect and therefore have the same slope.

So, the missing step is to state that the slopes of lines a and b are equal because they are parallel lines.