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Rotation Rules: Finding the Image of a Point under Counterclockwise Rotations, Study notes of Pre-Calculus

University of Central Arkansas (UCA)Pre-Calculus

The rules for finding the image of a point under counterclockwise rotations about the origin in the coordinate plane. It includes examples of rotations of 90°, 180°, and 270°, and a problem for students to rotate a triangle 90° counterclockwise and find the coordinates of the image of each vertex.

Typology: Study notes

2021/2022

Uploaded on 09/27/2022

ekaksha
ekaksha 🇺🇸

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RulesofRotation
Objective:Usetherotationrulesto
rotate
imagesonthecoordinate
plane.
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Download Rotation Rules: Finding the Image of a Point under Counterclockwise Rotations and more Study notes Pre-Calculus in PDF only on Docsity!

Rules of Rotation

Objective: Use the rotation rules to rotate images on the coordinate plane.

A (5, 2)

Graph A(5, 2), then graph B, the image of A under a 90° counterclockwise rotation about the origin. Rule for 90° counterclockwise rotation:

A (5, 2)

B (- 2, 5)

C (- 5, - 2)

Now graph D, the image of A under a 270° counterclockwise rotation about the origin. Rule for 270° counterclockwise rotation:

A (5, 2)

B (- 2, 5)

C (- 5, - 2)

D (2, - 5)

What type of quadrilateral is ABCD? Why?

Rotate triangle ABC 90° counterclockwise. Find the coordinates of the image of each of the vertices.

HW # 37 Rotation Rules Worksheet