Select the coordinates a and b after the dialation of the line technique a b with the Scale factor of 2 Centered at the origin where the end points are A 3, 7 and B4, 9

To find the coordinates after scaling by a factor of 2, we can use the formula:

New Coordinate = Scale Factor * Original Coordinate

For point A(3, 7):

New x-coordinate of A = 2 * 3 = 6
New y-coordinate of A = 2 * 7 = 14

Therefore, after scaling, point A becomes A' (6, 14).

For point B(4, 9):

New x-coordinate of B = 2 * 4 = 8
New y-coordinate of B = 2 * 9 = 18

Therefore, after scaling, point B becomes B' (8, 18).

And A?

Apologies, for point A(3, 7), the new coordinates after dilation with a scale factor of 2 centered at the origin are:

New x-coordinate of A = 2 * 3 = 6
New y-coordinate of A = 2 * 7 = 14

Therefore, after scaling, point A becomes A' (6, 14).

Select the coordinates a and b after the dialation of the line segment a b with a scale factor of 1/3 Center that the origin were the endpoints are A -6, 3 and B -12, 9

To find the coordinates after scaling by a factor of 1/3, we can use the formula:

New Coordinate = Scale Factor * Original Coordinate

For point A (-6, 3):

New x-coordinate of A = (1/3) * (-6) = -2
New y-coordinate of A = (1/3) * 3 = 1

Therefore, after scaling, point A becomes A' (-2, 1).

For point B (-12, 9):

New x-coordinate of B = (1/3) * (-12) = -4
New y-coordinate of B = (1/3) * 9 = 3

Therefore, after scaling, point B becomes B' (-4, 3).