Question

Triangle ABC with coordinates a (two, three) b(3,5) c(7,4) Is dilated buy a scale of factor to what are the coordinated of the dilated figure triangle ABC

Answer 1

Question:

Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′?

Answer:

`A' =(4,6)`

`B' = (6,10)`

`C' = (14,8)\\`

Explanation:

Given

`A = (2,3)`

`B = (3,5)`

`C =(7,4)`

`n = 2` -- Scale factor

Required

Determine the coordinates of A'B'C'

This is calculated by:

`A'B'C' = n * ABC`

For A':

Substitute values for n and A

`A' =n * A`

`A' =2 * (2,3)`

`A' =(4,6)`

For B':

Substitute values for n and B

`B' = n * B`

`B' = 2 * (3,5)`

`B' = (6,10)`

For C':

Substitute values for n and C

`C' = n * C`

`C' = 2 * (7,4)`

`C' = (14,8)`