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 multiply the x and y coordinates of each point by the scale factor.
For point A (-3, -3), the coordinates of A' will be:
x-coordinate of A' = -3 * 2 = -6
y-coordinate of A' = -3 * 2 = -6
So, the coordinates of A' are (-6, -6).
For point B (5, -3), the coordinates of B' will be:
x-coordinate of B' = 5 * 2 = 10
y-coordinate of B' = -3 * 2 = -6
So, the coordinates of B' are (10, -6).
For point C (2, 4), the coordinates of C' will be:
x-coordinate of C' = 2 * 2 = 4
y-coordinate of C' = 4 * 2 = 8
So, the coordinates of C' are (4, 8).