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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​

Respuesta :

MrRoyal

Answer:

[tex]A' = (0,20)[/tex]

[tex]B' = (16,12)[/tex]

[tex]C' = (8,4)[/tex]

Step-by-step explanation:

Given

[tex]A = (0,10)[/tex]

[tex]B =(8,6)[/tex]

[tex]C=(4,2)[/tex]

[tex]k = 2[/tex] --- scale factor

Required

The coordinates of A'B'C'

This is calculated as thus:

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

So, we have:

[tex]A' = (0,10) * 2[/tex]

[tex]A' = (0,20)[/tex]

[tex]B' = (8,6) * 2[/tex]

[tex]B' = (16,12)[/tex]

[tex]C' = (4,2)*2[/tex]

[tex]C' = (8,4)[/tex]

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