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)

​

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

$k=\dfrac{A'B'}{AB}$

$k=\dfrac{6}{2}$

$k=3$

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.