Find segment df. picture will you.

Therefore the Segment DF is 7.2 unit.

Step-by-step explanation:

Given:

∠ABD ≅ ∠D

∠DCE ≅ ∠E

AC = 10

CE = 6

BD = 12

To Find:

DF = ?

Solution:

∠ABD ≅ ∠D .....Given

Which are Alternate Angles

AB || CD      ..........Alternate Angles Theorem

∠DCE ≅ ∠E ....Given

Which are Corresponding Angles

CD || EF       ............Corresponding Angles Theorem

Now we have,

If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

AB || CD || EF cut by transversal BF and AE then

Substituting the values we get

Therefore the Segment DF is 7.2 unit.