Suppose you have ab on a coordinate plane located at a(-3,-4) and b(5,-4)

under a dilation centered at (9,0), ab becomes a'b' with coordinates a' (6,-1)

and b'(8,-1). what is the scale factor for this dilation?

what’s the answer

The scale factor is 1/4

Step-by-step explanation:

There are two ways to get this

1. Graphically: After representing the point in the graph, you can count the distance between each point on the x and y axis, and the dilation point D).

The distance in the y-axis between A'B' and D is 1, while AB and D is 4.

The distance in the x-axis between A and D is 12, while A' and D is 3.

We can see that in both axis the distance is reduced by 1/4.

2. Mathematically: To do this is necessary to find the distance between for example point A and A' with D, and then find the proportion

Following the same procedure:

Therefore, the proportion is

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step-by-step explanation:

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