Please help select the algebraic rule that describes the dialtion of ABC to A B

Given:

The triangle ABC and A'B'C' on a coordinate plane.

To find:

The algebraic rule that describes the dilation of ABC to A'B'C.

Solution:

From the given figure it is clear that

AB = 2 units

A'B' = 6 units

The scale factor is

So, the scale factor is 3.

If a figure is dilated about the origin with scale factor k, then  the rule of dilation is

For the given problem the scale factor is 3. So, putting k=3, we get

Therefore, the correct option is A.

3.45833333333

Step-by-step explanation:

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