Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
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Exercise 4 Page 225

A 90^(∘) 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 90^(∘) 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)
J(-1,1) J'(-1,-1)
K(3,3) K'(-3,3)
L(4,-3) L'(3,4)
M(0,-2) M'(2,0)

Finally, we can plot the image J'K'L'M'