Question

Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 13 , centered at the origin where the endpoints are A(−6,3) and B(−12,9) .(1 point)

Answer 1

To find the coordinates of points A' and B' after dilation of points A(-6, 3) and B(-12, 9) by a scale factor of 13 centered at the origin, we can use the dilation formula:

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

where \( (x, y) \) are the coordinates of the original point, and \( k \) is the scale factor.

For point A(-6, 3):
\[
A' = (13 \cdot -6, 13 \cdot 3) = (-78, 39)
\]

For point B(-12, 9):
\[
B' = (13 \cdot -12, 13 \cdot 9) = (-156, 117)
\]

Thus, the coordinates after dilation are:
- \( A'(-78, 39) \)
- \( B'(-156, 117) \)