Triangle ABC
has vertices point A (−3,−3)
, point B (5,−3)
, and point C (2, 4)
. Find the coordinates of A′, B′,
and C′
after a dilation with a scale factor of 2 and a center point of dilation at the origin.
To find the coordinates of A', B', and C' after a dilation with a scale factor of 2 and a center point of dilation at the origin, we can multiply the x-coordinate and the y-coordinate of each point by the scale factor.
A' = (2 * -3, 2 * -3) = (-6, -6)
B' = (2 * 5, 2 * -3) = (10, -6)
C' = (2 * 2, 2 * 4) = (4, 8)
So the coordinates of A', B', and C' are (-6, -6), (10, -6), and (4, 8) respectively.