Question

Rectangle ABCD is rotated by 90 degrees
clockwise about the origin and then translated
2 units left and 3 units down to form A'B'C'D'.
What is the length, in units, of line segment A'B'
if AB was 4 units?

Answer 1

Rotation involves moving the rectangle ABCD around a fixed point

The length of side A'B' is 4 units, if AB was 4 units

How to determine the length of A'B'

From the question, we have the following transformations

• Rotation
• Translation

Both transformations are rigid transformations, and they do not change the length of the shape

Hence, the length of side A'B' is 4 units, if AB was 4 units

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