Understanding Angle of Rotation
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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).
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Practice Problems
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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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