Question

on a number line, the coordinates of x, y, z, and w are - 6, - 3, 4, and 7, respectively. find the lengths of the two segments below. then tell whether they are congruent. (overline{xy}) and (overline{zw}
the length of (overline{xy}) is . (type an integer or a decimal.)
the length of (overline{zw}) is . (type an integer or a decimal.)

Explanation:

Step1: Calculate length of $\overline{XY}$

The length of a line - segment with endpoints $x_1$ and $x_2$ on a number - line is given by $|x_2 - x_1|$. For $\overline{XY}$, $x_1=-6$ and $x_2 = - 3$. So, $|\ -3-(-6)|=|-3 + 6|=|3| = 3$.

Step2: Calculate length of $\overline{ZW}$

For $\overline{ZW}$, $x_1 = 4$ and $x_2=7$. So, $|7 - 4|=|3| = 3$.

Answer:

The length of $\overline{XY}$ is $3$.
The length of $\overline{ZW}$ is $3$.