Question

Answer the questions by drawing on the coordinate plane below.

Draw the image of ∆PQR after a counterclockwise rotation of 90° about the origin.
Label the image ∆P'Q'R'.

Answer 1

Answer: The image ∆P'Q'R' on the coordinate plane is attached.

Explanation:

A rotation is defined as a transformation in which a figure is rotated about a point called "The center of rotation"

The Rule for 90° counterclockwise rotation about the origin is:

`(x,y)`→
`(-y,x)`

Observe in the picture that the coordinates of the vertices of the triangle PQR are :

`P(1,-1)\\\\Q(3,-2)\\\\R(3,-4)`

Therefore, applying the Rulefor 90° counterclockwise rotation about the origin we get that the coordinates P'Q'R' are:

`P'(1,1)\\\\Q'(2,3)\\\\R'(4,3)`

Knowing these coordinates, you can draw it on the coordinate plane (Observe the picture attached)