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

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Answer 2

To find the coordinates A' and B' after dilation of the line segment AB with a scale factor of 13, centered at the origin, we can use the following formulas:

A' = (13 * Ax, 13 * Ay)
B' = (13 * Bx, 13 * By)

Where Ax and Ay are the coordinates of point A, and Bx and By are the coordinates of point B.

Using the given endpoints A(-6,3) and B(-12,9), we can substitute into the formulas to find A' and B':

A' = (13 * -6, 13 * 3) = (-78, 39)
B' = (13 * -12, 13 * 9) = (-156, 117)

So, the coordinates A' are (-78, 39) and the coordinates B' are (-156, 117).

Answer 3

Apologies for the mistake. Let's try it again.

To find the coordinates A' and B' after dilation of the line segment AB with a scale factor of 13, centered at the origin, we can use the following formulas:

A' = (13 * Ax, 13 * Ay)
B' = (13 * Bx, 13 * By)

Substituting the coordinates of point A(-6, 3) and B(-12, 9) into the formulas:

A' = (13 * -6, 13 * 3) = (-78, 39)
B' = (13 * -12, 13 * 9) = (-156, 117)

So the coordinates A' are (-78, 39) and B' are (-156, 117), after dilation.