Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
3. Rotations
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Exercise 2 Page 56

Try rotating the red figure counterclockwise about the origin until it matches the blue one.

No.

Practice makes perfect
Let's take a look at the given diagram.
Given Diagram
We want to find out whether the blue figure is a rotation of the red one about the origin. A rotation is a transformation that involves rotating, or turning, the figure about a point called the center of rotation. Let's see if we can turn the red figure about point O to form the blue one.
rotation
As we can see, the red figure intersects the blue one during a rotation. However, they do not match exactly at any point. For this reason, the blue figure is not a rotation about the origin of the red one.

Extra

Types of Transformations

Let's list the types of transformations that we learned so far.

Transformation Definition
Translation A transformation that involves sliding a figure without turning, rotating, or changing its size.
Reflection A transformation that involves reflecting, or flipping, the figure in a line called the line of reflection. The result is a mirror image of the original figure.
Rotation A transformation that involves rotating, or turning, the figure about a point called the center of rotation.