Question

Please help

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



A.(3x,3y)
B.(2x,2y)
C.(1/3x,1/3y)​

Answer 1

Answer: A.(3x,3y)

Explanation:

In the given graph,

Triangle A'B'C' is an image of Triangle ABC after dilation.

Algebraic rule for dilation (with center =origin)

`(x,y)\to (kx,ky)` , where k= scale factor.

Coordiantes of A = (1,1) Coordinates of A' = (3,3)

Scale factor =
`\frac{\text{x-coordinate in image}}{\text{ x-coordinate in pre-image}}`

`=\frac31=3`

Hence, the required algebraic rule : (3x,3y)

The correct option is A.