If you are given the points A (3,3), B (3,15), and C (5,3). What would be the new points for A', B', and C' given a scale factor of 2?

Respuesta :

Answer:

[tex]A' = (6,6)[/tex]

[tex]B' = (6,30)[/tex]

[tex]C' = (10,6)[/tex]

Step-by-step explanation:

Given

[tex]A = (3,3)[/tex]

[tex]B = (3,15)[/tex]

[tex]C = (5,3)[/tex]

[tex]Scale\ Factor = 2[/tex]

Required

Determine A', B' and C'

The new coordinates can be calculated using:

[tex]New = Old * Scale\ factor[/tex]

So:

[tex]A' = A * 2[/tex]

[tex]A' = (3,3) * 2[/tex]

[tex]A' = (3 * 2,3 * 2)[/tex]

[tex]A' = (6,6)[/tex]

[tex]B' = B * 2[/tex]

[tex]B' = (3,15) * 2[/tex]

[tex]B' = (3* 2,15* 2)[/tex]

[tex]B' = (6,30)[/tex]

and

[tex]C' = C * 2[/tex]

[tex]C' = (5,3) * 2[/tex]

[tex]C' = (5* 2,3* 2)[/tex]

[tex]C' = (10,6)[/tex]