To find the coordinates of points \( A' \) and \( B' \) after a dilation with a scale factor of 5 and a center of dilation at the origin, we can use the formula for dilation:
\[ A' = (kx, ky) \]
where \( (x, y) \) are the original coordinates of the point, and \( k \) is the scale factor.
Step 1: Dilation of point A(1, 2)
For point \( A(1, 2) \):
- Coordinates after dilation: \[ A' = (5 \cdot 1, 5 \cdot 2) = (5, 10) \]
Step 2: Dilation of point B(−2, −1)
For point \( B(−2, −1) \):
- Coordinates after dilation: \[ B' = (5 \cdot -2, 5 \cdot -1) = (-10, -5) \]
Conclusion
The coordinates after the dilation are:
- \( A' = (5, 10) \)
- \( B' = (-10, -5) \)
3 answers