Question

On a number​ line, the coordinates of​ X, Y,​ Z, and W are -7, -4, 4 and 8, respectively. Find the lengths of the two segments below. Then tell whether they are congruent. XY and ZW

Answer 1

Explanation:

so, let me get this straight first :

X = -7

Y = -4

Z = 4

W = 8

the only condition for line segments to be congruent is to be of the same length.

how do we get the length of a line segment ?

by XY the difference between the higher and the lower end points. a difference is calculated by using subtraction.

it is higher value minus lower value.

so, the length of X Y is -4 - -7 = -4 + 7 = 3.

indeed, the distance to go from -4 to -7 is 3 (just going 3 units to the left side).

the length of Z W is 8 - 4 = 4.

we need to move 4 units to get from 4 to 8 (going 4 units to the right side) .

so, the length of X Y is not the same as the length of Z W.

therefore, the 2 line segments are NOT congruent.