Question

Using (1,2) as the center, dialate point A(3,6) using a scale factor of 1/2

Answer 1

Answer: (2, 4)

Step-by-step explanation

Let C be the center of dilation.

C = (1,2)

The horizontal distance from C to A is 2 units. The scale factor 1/2 will make this horizontal distance to be (1/2)*2 = 1 unit.

The vertical distance from C to A is 4 units. Cut this in half to get (1/2)*4 = 2 which is the new vertical distance.

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Recap so far:

To go from C to A we follow the pathway "right 2, up 4"

To go from C to A', we need to follow the pathway "right 1, up 2", where each value is half of the previous values.

Start at C(1,2). Move right 1 and up 2 and you should arrive at A ' (2, 4)

See the diagram below.