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

In this lesson, we will learn how to find the vertices of a shape after it undergoes a rotation of 90, 180, or 270 degrees about the origin clockwise and counterclockwise.

Lesson Plan

Students will be able to

understand the transformations on the coordinates of a point when it is rotated about the origin on the coordinate plane by counterclockwise,
identify equivalent rotations on the coordinate plane,
identify the image of a point, line segment, or shape after a given rotation about the origin,
rotate points, line segments, and shapes about the origin by multiples of ,
understand the properties of rotation about a point.

Lesson Video

Sample Question Videos

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Lesson Worksheet

Q1:

Determine the images of the vertices of triangle after a clockwise rotation of about the origin.

Q2:

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

Q3:

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