Question

If rectangle ABCD were rotated 90° clockwise about the origin to create rectangle A'B'C'D', which set of sides would be parallel in the resulting image?

I. A'B' and D'C'
II. A'D' and D'C'
III. A'B' and A'D'
IV. A'D' and B'C'

A.
I and II only
B.
I and IV only
C.
II and III only
D.
I, II, III, and IV

answers is B

Answer 1

Answer: B. I and IV only

Explanation:

We can look at the rectangle already graphed. Since it is being rotated, parallel sets of sides will be parallel in ABCD and A'B'C'D'

I. A'B' and D'C'

-> True

II. A'D' and D'C'

-> False

III. A'B' and A'D'

-> False

IV. A'D' and B'C'

-> True

This means your answer is option B.

I and IV only