Question

Determine if DE is parallel to AC. Show all your work!!!

Answer 1

Answer:

Step-by-step explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

$\frac{AD}{DB}=\frac{CE}{EB}$

$\frac{22.5}{15}=\frac{24}{40-24}$

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.