# Lesson Worksheet: Rotations Mathematics

In this worksheet, we will practice drawing the rotation of a shape in the coordinate plane around the origin.

Q1:

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

• A
• B
• C
• D

Q2:

Rotate triangle clockwise about the origin, and state the coordinates of the image.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q3:

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

Q4:

Describe the single transformation that would map triangle onto triangle in the given figure.

• AA rotation of counterclockwise about
• BA rotation of clockwise about
• CA rotation of clockwise about
• DA rotation of clockwise about
• EA rotation of counterclockwise about

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:

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, ,

Q8:

Determine the coordinates of the vertices’ images of triangle after a counterclockwise rotation of around 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:

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, ,