Question

Which of the following is an equivalent transformation to rotation of an object clockwise 90 degrees?(1 point)
Responses

rotation about the origin of 270 degrees clockwise
rotation about the origin of 270 degrees clockwise

rotation about the origin of 180 degrees counterclockwise
rotation about the origin of 180 degrees counterclockwise

rotation about the origin of 90 degrees counterclockwise
rotation about the origin of 90 degrees counterclockwise

rotation about the origin of 270 degrees counterclockwise
rotation about the origin of 270 degrees counterclockwise

Answer 1

Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?

Answer 2

rotation about the origin of 270 degrees counterclockwise

Answer 3

To rotate a point counterclockwise by 90 degrees, we can use the following formula for a 2D rotation:

x' = -y
y' = x

Using this formula, we can find the new coordinates:

x' = -4
y' = -(-7) = 7

Therefore, the new point after rotating the figure 90 degrees counterclockwise is (–4, 7).