Question

What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?

Answer 1

Answer: = (-2,3)

Step-by-step explanation:

• Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  $90^{\circ}$counterclockwise about the origin:

$(x,y)\to (-y,x)$

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  $90^{\circ}$counterclockwise about the origin = (-2,3)