Question

On a number line, the coordinates of X, Y, Z, and W are -7, -3, 1, and 5, respectively. Find the lengths of the two segments. Then tell whether they are congruent.

the mentioned segments are YZ and XW​

Answer 1

• YZ = 4
• XW = 12
• not congruent

Explanation:

YZ = Z - Y = 1 -(-3) = 4

XW = W -X = 5 -(-7) = 12

The segments are different lengths, so are not congruent.

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Obviously, segment YZ is only part of segment XW, so will not be the same length.