Select the coordinates A′

Question

and B′
after dilation of the line segment AB
with a scale factor of 4, centered at the origin where the endpoints are A(−2,−3)
and B (−4,−5)
.

Answer 1

To find the coordinates of the new endpoints A' and B' after dilation with a scale factor of 4, we can use the formula:

A' = (4 * Ax, 4 * Ay)
B' = (4 * Bx, 4 * By)

So, for A(−2,−3):
A' = (4 * -2, 4 * -3)
A' = (-8, -12)

And for B(−4,−5):
B' = (4 * -4, 4 * -5)
B' = (-16, -20)

Therefore, the coordinates of A' are (-8, -12) and the coordinates of B' are (-16, -20).