Question

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

Answer 1

Option D.
`(0,-20/3)`,
`(2)/(3)`

Explanation:

we know that

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

so

`(OH)/(OF)=(OG)/(OD)`

substitute values and solve for OD

`(6)/(4)=(10)/(OD)`

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

therefore

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

the scale factor is equal to
`(OF)/(OH)=(4)/(6)=(2)/(3)`