aabc has coordinates of a(-6, -3) b, (7,-7) and c (0,3) find the cooridnates of its image after a dilated centered at the origin with a scale factor of 1.5

Answer 1

To find the coordinates of the image after a dilation centered at the origin with a scale factor of 1.5, we need to multiply the coordinates of each point by the scale factor.

For point A(-6, -3):
x' = 1.5(-6) = -9
y' = 1.5(-3) = -4.5

So, the new coordinates for point A are A'(-9, -4.5)

For point B(7, -7):
x' = 1.5(7) = 10.5
y' = 1.5(-7) = -10.5

So, the new coordinates for point B are B'(10.5, -10.5)

For point C(0, 3):
x' = 1.5(0) = 0
y' = 1.5(3) = 4.5

So, the new coordinates for point C are C'(0, 4.5)

Therefore, the coordinates of the image of ABC after a dilation centered at the origin with a scale factor of 1.5 are A'(-9, -4.5), B'(10.5, -10.5), and C'(0, 4.5).