Question

on a number line, the coordinates of x, y, z, and w are -8, -6, 2, and 5, respectively. find the lengths of the two segments below. then tell whether they are congruent. (overline{zx}) and (overline{wy}) the length of (overline{zx}) is 10 (type an integer or a decimal.) the length of (overline{wy}) is 11 (type an integer or a decimal.) are the segments (overline{zx}) and (overline{wy}) congruent? (\bigcirc) no, because their lengths are not equal (\bigcirc) yes, because their lengths are equal (\bigcirc) no, because their lengths are equal (\bigcirc) yes, because their lengths are not equal

Explanation:

Step1: Recall Congruent Segments Definition

Congruent segments have equal lengths.

Step2: Compare Lengths of $\overline{ZX}$ and $\overline{WY}$

Length of $\overline{ZX}$ is 10, length of $\overline{WY}$ is 11. Since \(10
eq11\), their lengths are not equal.

Step3: Determine Congruence

As congruent segments require equal lengths, and these lengths are not equal, the segments are not congruent.

Answer:

A. No, because their lengths are not equal