Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Rotations
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Exercise 5 Page 561

Corresponding vertices of â–³ ABC and â–³ A'B'C' can be connected by a segment through the origin.

Diagram:

Relation: They are the same.

Practice makes perfect

To rotate △ A'B'C' by 180^(∘) counterclockwise about the origin, we should draw a segment between each point and the origin and continue that segment in a straight line until we reach the same distance as between the original point and the origin.

Comparing the vertices of △ ABC and △ A''B''C'', we see that they have the same coordinates. If you rotate something by 180^(∘) twice, it's the same thing as a 360^(∘) rotation which means your back to where you started,