Question

11

The coordinates of the triangle are A(0, 3), B(6,0), C(0, -3), determine the coordinates of its
image after a dilation of 1/3 as a scale factor. *
(2 Points)
O A'(0, -3), B'(-6, 0), C'(0,3)
O A'(0, 1), B (2.0), C'(0, -1)
O A'(0, -1), B'(-2, 0), C'(0, 1)

Answer 1

`A' = (0 ,1)`

`B' = (2,0)`

`C' = (0,-1)`

Explanation:

Given

`A = (0,3)`

`B =(6,0)`

`C = (0,-3)`

`k =(1)/(3)`

Required

The new coordinates

The new coordinate is calculated as:

New = Old * Scale factor

So, we have:

`A' = A * k`

`A' = (0,3) * (1)/(3)`

Expand

`A' = (0 * (1)/(3),3 * (1)/(3))`

`A' = (0 ,1)`

`B' = B * k`

`B' = (6,0) * (1)/(3)`

`B' = (6 * (1)/(3),0 * (1)/(3))`

`B' = (2,0)`

`C' = C * k`

`C' = (0,-3) * (1)/(3)`

`C' = (0* (1)/(3),-3* (1)/(3))`

`C' = (0,-1)`