Question

△FOD~△HOG. Identify the coordinates of D and the scale factor. HELP PLEASE!!

Answer 1

Answer:

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

Step-by-step explanation:

we know that

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

so

$\frac{OH}{OF}=\frac{OG}{OD}$

substitute values and solve for OD

$\frac{6}{4}=\frac{10}{OD}$

$OD=10*4/6=20/3$

therefore

the coordinate of point D is $(0,-20/3)$

the scale factor is equal to $\frac{OF}{OH}=\frac{4}{6}=\frac{2}{3}$