3. Rotations
Sign In
P(2,3),R(5,-2),S(0,0)
Let's start by graphing the given coordinates so that we can see the polygon.
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) 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) |
---|---|
P(- 3,2) | P'(2,3) |
R(2,5) | R'(5,-2) |
S(0,0) | S'(0,0) |