Question

Triangle ABC erices A(-2,-2) B(-4,-3) C (-2,-5) find the coordinates A’ B’ C’ scale factor 3

Answer 1

To find the new coordinates of points A', B', and C' after applying a scale factor of 3, you multiply each coordinate of the original points by the scale factor.

The formula to scale a point \( (x, y) \) by a scale factor \( k \) is:

\[
(x', y') = (k \cdot x, k \cdot y)
\]

Here, the scale factor \( k = 3 \).

### For Point A(-2, -2):

\[
A' = (3 \cdot -2, 3 \cdot -2) = (-6, -6)
\]

### For Point B(-4, -3):

\[
B' = (3 \cdot -4, 3 \cdot -3) = (-12, -9)
\]

### For Point C(-2, -5):

\[
C' = (3 \cdot -2, 3 \cdot -5) = (-6, -15)
\]

### Summary of the new coordinates:
- \( A' = (-6, -6) \)
- \( B' = (-12, -9) \)
- \( C' = (-6, -15) \)

Thus, the new coordinates after scaling triangle ABC by a factor of 3 are:
- A'(-6, -6)
- B'(-12, -9)
- C'(-6, -15)