Question

Please help

select the algebraic rule that describes the dialtion of ABC to A'B'C

will give brainilsit

A.(3x,3y)
B.(2x,2y)
C.(1/3x,1/3y)

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Answer 1

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

`k=(A'B')/(AB)`

`k=(6)/(2)`

`k=3`

So, the scale factor is 3.

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

`(x,y)\to (kx,ky)`

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

`(x,y)\to (3x,3y)`

Therefore, the correct option is A.