a triangle has vertices at points A (-2, 2), B (-4, 3) and C (-1, 5)

find the coordinates of points A, B and C after a dilation with a scale factor of 3

1 answer

To find the coordinates of the points A, B, and C after a dilation with a scale factor of 3, we need to multiply the x and y coordinates of each point by 3.

Point A:
Original coordinates: A (-2, 2)
Dilated coordinates: A' (-2*3, 2*3) = A' (-6, 6)

Point B:
Original coordinates: B (-4, 3)
Dilated coordinates: B' (-4*3, 3*3) = B' (-12, 9)

Point C:
Original coordinates: C (-1, 5)
Dilated coordinates: C' (-1*3, 5*3) = C' (-3, 15)

Therefore, after a dilation with a scale factor of 3, the coordinates of points A, B, and C would be:
A' (-6, 6)
B' (-12, 9)
C' (-3, 15)