Question

QUICK PLZ!!!!! Which graph shows the result of dilating this figure by a factor of One-third about the origin? On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18). On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).

Answer 1

`A' = (-2,2)`

`B' = (2,2)`

`C' = (2,-2)`

Explanation:

Given

`A = (-6,6)`

`B = (6,6)`

`C = (6,-6)`

`k = (1)/(3)`

Required

The new coordinates

To do this, we simply multiply the coordinates of
`\triangle ABC` by the factor of dilation.

i.e.:

`A' = A * k`

`B' = B * k`

`C' = C * k`

So, we have:

`A' = (-6,6) * (1)/(3)`

`A' = (-2,2)`

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

`B' = (2,2)`

`C' = (6,-6) * (1)/(3)`

`C' = (2,-2)`