sebastianmontan8059 sebastianmontan8059
  • 17-05-2021
  • Mathematics
contestada

Triangle abc has verticals A(1,6) B(5,4) C(3,1) Triangle ABC will be dilated by a scale factor of three, with the center of dilation at the origin

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MrRoyal
MrRoyal MrRoyal
  • 20-05-2021

Answer:

[tex]A' =(3,18)[/tex]

[tex]B' =(15,12)[/tex]

[tex]C' =(9,3)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,6)[/tex]

[tex]B = (5,4)[/tex]

[tex]C = (3,1)[/tex]

[tex]k = 3[/tex] --- scale factor

Required

The new vertices

To do this, we simply multiply ABC by the scale factor.

So, we have:

[tex]A' = A * k\\B' = B * k\\C' = C * k[/tex]

[tex]A' =(1,6) * 3[/tex]

[tex]A' =(3,18)[/tex]

[tex]B =(5,4) * 3[/tex]

[tex]B' =(15,12)[/tex]

[tex]C' =(3,1) * 3[/tex]

[tex]C' =(9,3)[/tex]

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