Question

The line segment is rotated by 270 degrees counterclockwise about the origin to form C'D'. Which statement describes C'D'? C'D' is 4 units long. C'D' is 8 units long. C'D' is parallel to CD. C'D' is half the length of CD.

Answer 1

Length of CD

Distance between (1,-3) and (5,-3)

• 5-1
• 4units

Rotation means no change in size

So C'D' is also 4units

Answer 2

• A. C'D' is 4 units long

Explanation:

According to the graph, CD is 5 - 1 = 4 units long.

Rotation doesn't change the length of the segment, so C'D' = CD = 4 units.

Correct choice is A.