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Master

Angle of Rotation

Master angle of rotation with interactive lessons and practice problems! Designed for students like you!

Understanding Angle of Rotation

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Video explanation of this concept

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Beginner

Start here! Easy to understand

Beginner Explanation

A 180° rotation flips each point to the opposite side of the center. For example, rotating point A(2,3) 180° about the origin O yields A'(-2,-3).
Now showing Beginner level explanation.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

Given ΔXYZ with X(1,0), Y(0,1), Z(−1,0) and its image ΔX'Y'Z' with X'(0,−1), Y'(1,0), Z'(0,1) under rotation about the origin, how many degrees has ΔXYZ been rotated counterclockwise?

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2

Real-World Problem

Question Exercise
Intermediate

Navigating a Maze

A robot is programmed to navigate a maze using specific rotations. If the robot is programmed to rotate 90 degrees clockwise at each junction, how many degrees has it rotated after 4 junctions?
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

If a figure is rotated 180 degrees twice, what is the total angle of rotation?

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4

Challenge Quiz

Single Choice Quiz
Advanced

A figure is rotated 90° clockwise, then 180° counterclockwise, and finally 270° clockwise. Express the net rotation between 0° and 360°.

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Recap

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Review key concepts and takeaways

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