Question

On a number​ line, the coordinates of​ X, Y,​ Z, and W are negative 8​, negative 6​, 1​, and 5​, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. XY and ZW

Answer 1

Consider the coordinates of​ X, Y,​ Z, and W.

The given coordinates are X= -8​, Y = -6​,Z= -1​ and W= -5.

We have to determine the length of segments XY and ZW.

XY = Y - X = -6-(-8) = -6 + 8 = 2 units

ZW = W - Z = -5-(-1) = -5+1 = -4 units

Since, the length of the segments are not equal.

Hence, XY and ZW are not congruent.