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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

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Exercise 3 Page 581

A 270^(∘) rotation about the origin will change the coordinates of the vertices such that (a,b)→ (b,- a).

Practice makes perfect

To graph the polygon, let's plot the given vertices and then connect them.

When a figure is rotated 270^(∘) counterclockwise about the origin, the coordinates of the image's vertices will change in the following way.

(a,b)→ (b,- a) Let's find the coordinates of the image according to the rule.

(a,b)	(b,- a)
D(-1,-1)	D'(-1,1)
E(-3,2)	E'(2,3)
F(1,4)	F'(4,-1)

Finally, we can plot the image △ D'E'F'

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Exercises p.581