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Big Ideas Math Integrated I, 2016 View details

3. Rotations

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Exercise 9 Page 566

A 180^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (- a,- b).

Practice makes perfect

Let's start by looking at the given polygon.

When a figure is rotated 180^(∘) counterclockwise about the origin, the coordinates of the image's vertices will change in the following way. (a,b)→ (- a,- b) Using this rule and the vertices of the polygon, we can find the x- and y-coordinates of the image's vertices.