Question

what allows you to say ac=fh1) distributive property 2) addition property 3) symmetric property 4) substitution property

Answer 1

We know that

`AB=GH,BC=FG`

To prove that AC=FH, we need to use the sum of segments property.

According to the given graph, segment AC is formed by

`AC=AB+BC`

Similarly, FH is defined

`FH=FG+GH`

But, we know by given that AB=GH and BC=FG, that means we can replace this on either equation

`AB=AB+BC\rightarrow AB=GH+FG`

Using the commutative property, we have

`AB=GH+FG=FG+GH`

And we know that FH=FG+GH, so

`AB=FG+GH=FH`

Therefore, AB=FH.