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Big Ideas Math Integrated I, 2016

BI

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.

Quadrilateral JKLM	(a,b)	(- a,- b)
J	(1,4)	(- 1,- 4)
K	(5,5)	(- 5, - 5)
L	(7, 2)	(- 7,- 2)
M	(2,2)	(- 2,- 2)

Knowing the vertices of quadrilateral J'K'L'M', we can draw the image.

Subchapter links

Communicate Your Answer p.561

Monitoring Progress p.563-565

Exercises p.566-568