Question

On a number line, the coordinates of j, k, l, m, n are −10.5, −4, −1, 1.5, 4 respectively. Find the lengths of the two segments. Are they congruent? Jl¯¯¯¯¯¯ and kn ¯¯¯¯¯¯¯

Answer 1

Answer and Step-by-step explanation: A Line Segment is a part of a line with two endpoints and fixed length.

The length of segment JL is

JL =
`-1-(-10.5)`

JL = 9.5 units

And of KN:

KN =
`4-(-4)`

KN = 8 units

The term congruent refers to an object, form or figure that have the same shape and size.

Both segments have the same shape (a line), however not the same size. So, segments JL and KN are not congruent.