Answer:
A' = (-6, -6)
B' = (-12, -9)
C' = (-6, -15)
Explanation:
Triangle ABC has the following vertices:
- A (-2, -2)
- B (-4, -3)
- C (-2, -5)
The formula for a dilation with a scale factor of r and centerpoint of the origin is:
Given the scale factor is 3, to determine the coordinates of the vertices after dilation, all we need to do is multiply them by 3.
Vertex A
- x' = 3(-2) = -6
- y' = 3(-2) = -6
Therefore, A' has coordinates (-6, -6).
Vertex B
- x' = 3(-4) = -12
- y' = 3(-3) = -9
Therefore, B' has coordinates (-12, -9).
Vertex C
- x' = 3(-2) = -6
- y' = 3(-5) = -15
Therefore, C' has coordinates (-6, -15).
Therefore, the coordinates of the dilated vertices are:
- A' = (-6, -6)
- B' = (-12, -9)
- C' = (-6, -15)