riangle 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.
SHOW WORKKK
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 need to multiply the x and y coordinates of each point by the scale factor.
Point A (−3,−3):
The x-coordinate of A' is -3 * 2 = -6
The y-coordinate of A' is -3 * 2 = -6
So, A' has coordinates (-6, -6).
Point B (5,−3):
The x-coordinate of B' is 5 * 2 = 10
The y-coordinate of B' is -3 * 2 = -6
So, B' has coordinates (10, -6).
Point C (2, 4):
The x-coordinate of C' is 2 * 2 = 4
The y-coordinate of C' is 4 * 2 = 8
So, C' has coordinates (4, 8).
Therefore, 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 are:
A' (-6, -6)
B' (10, -6)
C' (4, 8)