Question

is $overline{uw} cong overline{vx}$?
(there is a number line with points u at -12, v at -10, w at -6, x at 2. below are two buttons: yes and no, and a submit button.)

Explanation:

Step1: Calculate length of UW

The coordinates of U is -12 and W is -6. The length of a segment on a number line is the absolute difference of the coordinates. So, $UW = | - 6 - (-12)| = | - 6 + 12| = |6| = 6$.

Step2: Calculate length of VX

The coordinates of V is -10 and X is 2. The length of VX is $|2 - (-10)| = |2 + 10| = |12| = 12$.

Step3: Compare lengths

Since $6
eq12$, the segments UW and VX are not congruent.

Answer:

no