Question

Triangle ABC has vertices point A(-2,-2), point B(-4, -3), and point C(-2,-5) Find the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin. (2 points)

A'=(blank, blank)
B'=(blank, blank)
C'=(blank, blank)

Answer 1

To find the coordinates of the points A', B', and C' after a dilation with a scale factor of 3 centered at the origin, we multiply each coordinate of the original points by the scale factor.

1. **Point A (-2, -2)**:
- A' = (scale factor) × (original coordinates)
- A' = 3 × (-2, -2) = (-6, -6)

2. **Point B (-4, -3)**:
- B' = (scale factor) × (original coordinates)
- B' = 3 × (-4, -3) = (-12, -9)

3. **Point C (-2, -5)**:
- C' = (scale factor) × (original coordinates)
- C' = 3 × (-2, -5) = (-6, -15)

Thus, the coordinates after dilation are:
- A' = (-6, -6)
- B' = (-12, -9)
- C' = (-6, -15)

So, the final answers are:
- A' = (-6, -6)
- B' = (-12, -9)
- C' = (-6, -15)