Question

If ΔABC is similar to ΔDEFand EF = 6y, which represents the length of DF ?

Options
3y + 3
3y + 9
4y + 7
4y + 16

Answer 1

Length of DF = 3y + 9

Explanation:

Given:

ΔABC is similar to ΔDEF

Line EF = 6y

Find:

Length of DF

Computation:

Given that ΔABC is similar to ΔDEF

So,

Line BC similar to Line EF

Line BA similar to Line ED

Line AC similar to Line DF

Common factor = EF/BC

Common factor = 6y/2y

Common factor = 3

So,

Line AC similar to Line DF

So,

DF = 3[AC]

Length of DF = 3[y+3]

Length of DF = 3y + 9