Question

a. draw parallel lines ab and cd.
b. pick any point e. rotate ab 90 degrees clockwise around e.
c. rotate line cd 90° clockwise around e.
d. what do you notice?
type your response in the space below.

Explanation:

Step1: Recall rotation property

A 90 - degree clock - wise rotation changes the orientation of lines.

Step2: Consider parallel lines

Parallel lines have the same slope. After a 90 - degree rotation, the new lines will have slopes that are negative reciprocals of the original slopes.

Step3: Analyze the result

Since the original lines \(AB\) and \(CD\) are parallel, after rotating them 90 degrees clock - wise around the same point \(E\), the new lines \(A'B'\) and \(C'D'\) will also be parallel.

Answer:

The rotated lines \(AB\) and \(CD\) (after 90 - degree clockwise rotation around point \(E\)) are still parallel.