Question

Suppose two lines are parallel.
Which of the following statements must be true? Select all that apply.

Answer 1

3 Answers: Choice A, Choice B, Choice E

============================================================

Explanation:

Let's go through each answer choice one by one to see if it's true or false.

• A) This is true. Parallel lines have equal slopes, but different y intercepts.
• B) This is true because of the corresponding angles theorem.
• C) This is false. The statement applies to perpendicular lines, rather than parallel ones.
• D) This is false in general. The only time it's true is when the consecutive interior angles are 90 degrees each. Otherwise, the statement is false.
• E) This is true. Let's say we drew any diagonal line we wanted. Now imagine picking a point on that line and shifting it up 5 units. Do this for another point and draw a line through the two separated points. This forms a parallel line. The upper line has been shifted up 5 units compared to the lower line.
• F) This is false in general. It's only true when both alternate interior angles are 90 degrees each; otherwise, it is false.