Question

is $overline{wx}$ congruent to $overline{uv}$?
u marked at 3, v marked at 4, w marked at 5, x marked at 6 on a number line. options: yes, no

Explanation:

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

The coordinates of \( U \) is \( 3 \) and \( V \) is \( 4 \). The length of a segment on a number line is \( |x_2 - x_1| \). So, length of \( \overline{UV} = |4 - 3| = 1 \).

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

The coordinates of \( W \) is \( 5 \) and \( X \) is \( 6 \). Using the same formula, length of \( \overline{WX} = |6 - 5| = 1 \).

Step3: Compare lengths

Since both \( \overline{UV} \) and \( \overline{WX} \) have length \( 1 \), they are congruent.

Answer:

yes