Question

Complete the proof showing that DE is parallel to AC

Answer 1

Answer: The statement is $\frac{AD}{DB} +1=\frac{CE}{EB}+1$ and the reason is add 1 both sides.

Explanation:

The given equation is $\frac{AD}{DB} =\frac{CE}{EB}$.

We know that according to the addition property the equation x=y and x+c=y+c are equivalent equations, where c is a constant.

So we can add 1 both sides in the given equation.

$\frac{AD}{DB} +1=\frac{CE}{EB}+1$

Now we can take LCM and we get,

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

The above step is the third step of the given proof. By follow the given steps we can prove that DE is parallel to AC.

Therefore, the missing step is addition of 1 on both the sides of the given equation.