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:

$A' =(4,6)$

$B' = (6,10)$

$C' = (14,8)$

Step-by-step 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

$C' = n * C$

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

$C' = (14,8)$