# Lesson Worksheet: Rotations on the Coordinate Plane Mathematics • 8th Grade

In this worksheet, we will practice finding the vertices of a shape after it undergoes a rotation of 90, 180, or 270 degrees about the origin clockwise and counterclockwise.

Q1:

Determine the images of the vertices of triangle after a clockwise rotation of about the origin. • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q2:

Given that , , and form a triangle, determine the images of its vertices after a clock wise rotation of about the origin.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q3:

What is the image of the point after a rotation about the origin through an angle of ?

• A
• B
• C
• D

Q4:

What is the image of under the transformation ? • A, , ,
• B, , ,
• C, , ,
• D, , ,
• E, , ,

Q5:

A triangle has its vertices at the points (2, 1), (3, 2) and (2, 4). The triangle is rotated counterclockwise about the origin. At which of the following coordinates will the image have its vertices?

• A, and
• B, and
• C, and
• D, and
• E, and

Q6:

Rotate the given triangle about the origin clockwise. Which of the following sets of coordinates will be the vertices of the image? • A, and
• B, and
• C, and
• D, and
• E, and

Q7:

Determine the coordinates of the vertices’ images of triangle after a counterclockwise rotation of around the origin. • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q8:

Given that , , and , form a triangle, determine the images of its vertices after a clockwise rotation of about the origin.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q9:

Determine the coordinates of the vertices’ images of triangle after a counterclockwise rotation of around the origin. • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q10:

A triangle graphed on the coordinate plane has a vertex at . Which of the following rotations would move the vertex to point ?

• A clockwise around the origin
• B counterclockwise around the origin
• C clockwise or counterclockwise around the origin

This lesson includes 39 additional questions and 125 additional question variations for subscribers.