After the rotation and dilation, the new coordinates for ∆FGH are: F'(-6, -6), G'(12, -6)
H'(12, -12).
What is transformation of shape?
Given ∆FGH with vertices F(-2,2), G(-2,-4) and H(-4,-4) is rotated 90⁰ about the origin, and dilated with scale factor of 3,
When rotated 90⁰ counterclockwise about the origin,swap its coordinates and negate the new x-coordinate. The dilation with a scale factor of 3 involves multiplying both coordinates by 3.
Vertex F(-2, 2)
Rotation: (-2, -2)
Dilation: (-6, -6)
Vertex G(-2, -4)
Rotation: (4, -2)
Dilation: (12, -6)
Vertex H(-4, -4)
Rotation: (4, -4)
Dilation: (12, -12)
So, after the rotation and dilation, the new coordinates for ∆FGH are:F'(-6, -6), G'(12, -6)
H'(12, -12)