Question

Lines AB and CD are parallel. Line AB is rotated 90 degrees clockwise around point E. Line CD is rotated 90 degrees clockwise around point E. Which of the following is true? Select all that apply.

A) Line A’B’ is perpendicular to line AB.
B) Line C’D’ is perpendicular to line CD.
C) Line C’D’ is perpendicular to line CD.
D) Line C’D’ is perpendicular to line A’B’.
E) Line A’B’ is parallel to line AB.

Answer 1

When a line is rotated 90 degrees clockwise around a point, it becomes perpendicular to its original position. The correct options are A and B.

Step-by-step explanation:

When a line is rotated 90 degrees clockwise around a point, it becomes perpendicular to its original position. This means that Line A'B' is perpendicular to line AB and Line C'D' is perpendicular to line CD. Therefore, options A and B are true.

Line C'D' is not perpendicular to line A'B' because the two lines are parallel. So option D is false. Finally, line A'B' is not parallel to line AB because it is perpendicular to it. Therefore, option E is false. Hence, the correct options are A and B.