Question
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.
Answers
Answered by
GPT 3.5
To find the coordinates of each point after a dilation with a scale factor of 2 and a center point of dilation at the origin, we will multiply the original coordinates by the scale factor.
For point A(-3, -3):
A' = (2 * -3, 2 * -3)
A' = (-6, -6)
For point B(5, -3):
B' = (2 * 5, 2 * -3)
B' = (10, -6)
For point C(2, 4):
C' = (2 * 2, 2 * 4)
C' = (4, 8)
Therefore, the coordinates of A', B', and C' after the dilation are:
A'(-6, -6), B'(10, -6), and C'(4, 8).
For point A(-3, -3):
A' = (2 * -3, 2 * -3)
A' = (-6, -6)
For point B(5, -3):
B' = (2 * 5, 2 * -3)
B' = (10, -6)
For point C(2, 4):
C' = (2 * 2, 2 * 4)
C' = (4, 8)
Therefore, the coordinates of A', B', and C' after the dilation are:
A'(-6, -6), B'(10, -6), and C'(4, 8).