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)=√((-9+1)²+(-8+5)²)=√(10)=\bar{DE}`

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

`BC=d(B,C)=√((2+4)²+(1-3)²)=√(40)`

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

`d(A,B)=√((-4-5)²+(3+7)²)=√(181)=AB`

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

`d(F,G)=√((9+6)²+(8+3)²)=√(346)=FG`