Question

Use the graph to complete the table for missing segment names and segment lengths.

Answer 1

First, notice that the distance between D and E is the following:

$d(D,E)=\sqrt{(-9+1)²+(-8+5)²}=\sqrt{10}=\bar{DE}$

next, the length of the segment BC is given by the distance between these two points:

$BC=d(B,C)=\sqrt{(2+4)²+(1-3)²}=\sqrt{40}$

For the next square, notice that the distance betwen A and B is the following:

$d(A,B)=\sqrt{(-4-5)²+(3+7)²}=\sqrt{181}=AB$

Finally, the distance between F an G is the following:

$d(F,G)=\sqrt{(9+6)²+(8+3)²}=\sqrt{346}=FG$