A 270^(∘) rotation counterclockwise about the origin will change the coordinates of the vertices such that (a,b)→ (b,- a).
Practice makes perfect
Examining the figure, we can get the coordinates of the vertices of the quadrilateral.
R(- 5,0) S(- 3,0) T(- 1,- 3) Q(- 6,- 3)
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 RSTQ, we can find the x- and y-coordinates of the image's vertices.
RSTQ
(a,b)
(b,- a)
R
(- 5,0)
(0,5)
S
(- 3,0)
(0,3)
T
(- 1,- 3)
(- 3,1)
Q
(- 6,- 3)
(- 3,6)
Knowing the vertices of R'S'T'Q', we can draw the image.
