Question

Give the dilation below, determine the scale factor and center.

Answer 1

Answer:

scale = ½

center = (2, -5)

Step-by-step explanation:

The distance between A and B is 8

The distance between A' and B is 4

therefore the dilation scale factor is 4/8 = ½

As B and B' have the same x value, the center must also have the same x value of 2

The y value for A is -1

The y value for A' is -3

IF the y value for the center is Y

½(Y - (-1)) = (Y -(-3))

½(Y + 1) = (Y + 3)

½Y + ½ = Y + 3

-2.5 = ½Y

Y = -5