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

Question

Mathematics

Selina Dean

7 September, 03:50

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

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Answers (1)

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Brogan Cline · 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.