To find the coordinates of points \( A' \) and \( B' \) after a dilation centered at the origin with a scale factor of \( \frac{1}{2} \), we can use the following formula for dilation:
\[ (x', y') = (k \cdot x, k \cdot y) \]
where \( k \) is the scale factor.
For point \( A(-6, 4) \):
\[ A' = \left(\frac{1}{2} \cdot -6, \frac{1}{2} \cdot 4\right) = \left(-3, 2\right) \]
For point \( B(-8, 2) \):
\[ B' = \left(\frac{1}{2} \cdot -8, \frac{1}{2} \cdot 2\right) = \left(-4, 1\right) \]
Thus, the coordinates after the dilation are:
\[ A'(-3, 2) \quad B'(-4, 1) \]
1 answer