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  • 22-02-2019
  • Mathematics
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△FOD~△HOG. Identify the coordinates of D and the scale factor. HELP PLEASE!!

FODHOG Identify the coordinates of D and the scale factor HELP PLEASE class=

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calculista
calculista calculista
  • 04-03-2019

Answer:

Option D. [tex](0,-20/3)[/tex], [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

[tex]\frac{OH}{OF}=\frac{OG}{OD}[/tex]

substitute values and solve for OD

[tex]\frac{6}{4}=\frac{10}{OD}[/tex]

[tex]OD=10*4/6=20/3[/tex]

therefore

the coordinate of point D is [tex](0,-20/3)[/tex]

the scale factor is equal to [tex]\frac{OF}{OH}=\frac{4}{6}=\frac{2}{3}[/tex]

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