Question

If the coordinates of the points D, E, F, G, and H are -3, -6, 8, 11, and 13, respectively, which segment is the longest?

EG

FH

DE

FG

Answer 1

The length of the segment whose endpoints have coordinates \(x_\textrm{A}\) and \(x_\textrm{B}\) is given by:
\(\ell_{EG} = |x_\textrm{B}-x_\textrm{A}|.\)

For instance, the length of \(EG\) is:
\(\ell_{EG} = |x_\textrm{G}-x_\textrm{E}| = |(11) - (-6)| = |17| = 17.\)

You should now calculate this for every option and choose the segment with bigger length. You can also draw a line and mark all the points and use it to find out the longest segment. \(\ddot{\smile}\)

Answer 2

is it C

Answer 3

DE = 3

EG = 17

FG = 3

FH = 5

Answer 4

Your numbers are correct \(\ddot{\smile}\)
Therefore, \(EG\) is the longest segment.

Answer 5

Thanks