line segment ab has endpoints a (−6, 4) and b (−8, 2). find the coordinates of a′ and b′ after a dilation
To find the coordinates of A' and B' after a dilation, we need to know the scale factor of the dilation. The scale factor determines how much the line segment is stretched or shrunk.
Let's assume the scale factor is 2. This means that every point on the line segment will be multiplied by 2 to get the corresponding point on the image after the dilation.
To find A', we can multiply the x-coordinate and the y-coordinate of A by 2:
x-coordinate of A' = -6 * 2 = -12
y-coordinate of A' = 4 * 2 = 8
So the coordinates of A' are (-12, 8).
To find B', we can multiply the x-coordinate and the y-coordinate of B by 2:
x-coordinate of B' = -8 * 2 = -16
y-coordinate of B' = 2 * 2 = 4
So the coordinates of B' are (-16, 4).
Therefore, the coordinates of A' and B' after a dilation with a scale factor of 2 are A'(-12, 8) and B'(-16, 4).