Question

is $overline{de}$ congruent to $overline{cd}$?
yes
no

Explanation:

Step1: Calculate length of \( \overline{CD} \)

The coordinate of \( C \) is 26 and the coordinate of \( D \) is 29. The length of a segment on a number line is the absolute difference of the coordinates. So, \( CD = |29 - 26| = 3 \).

Step2: Calculate length of \( \overline{DE} \)

The coordinate of \( D \) is 29 and the coordinate of \( E \) is 32. Using the same formula for the length of a segment, \( DE = |32 - 29| = 3 \).

Step3: Compare lengths

Since \( CD = 3 \) and \( DE = 3 \), the lengths of \( \overline{DE} \) and \( \overline{CD} \) are equal. By the definition of congruent segments (segments with equal length are congruent), \( \overline{DE} \) is congruent to \( \overline{CD} \).

Answer:

yes