Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Rotations
Continue to next subchapter

Exercise 2 Page 563

A 90^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (- b,a).

Practice makes perfect

Let's start by looking at the given polygon.

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) Using this rule and the vertices of the polygon, we can find the x- and y-coordinates of the image's vertices.

(a,b) (- b,a)
J(3,0) J'(0,3)
K(4,3) K'(- 3,4)
L(6,0) L'(0,6)

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