3. Rotations
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A 90^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (- b,a).
Let's start by looking at the given polygon.
(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.