Question

What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 2? V ACO, 10) 10 00 6 B(8,6) 4 2 C(4,2) th 2 6 8 10 A. A' (0,5), B'(4,3), C' (2, 1) B. A' (0,10), B' (16,6), C' (8, 2) O C. A' (0,20), B'(8, 12), C'(4,4) D. A'(0,20), B (16,12). C'(8,4) < PREVIOUS Type here to search​

Answer 1

`A' = (0,20)`

`B' = (16,12)`

`C' = (8,4)`

Explanation:

Given

`A = (0,10)`

`B =(8,6)`

`C=(4,2)`

`k = 2` --- scale factor

Required

The coordinates of A'B'C'

This is calculated as thus:

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

So, we have:

`A' = (0,10) * 2`

`A' = (0,20)`

`B' = (8,6) * 2`

`B' = (16,12)`

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

`C' = (8,4)`