Question

is \\( \overline { c d } \\) congruent to \\( \overline { d e } \\)?

Explanation:

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

The coordinate of \( C \) is \( 777 \), and the coordinate of \( D \) is \( 779 \). Using the distance formula for two points on a number line \( d=\vert x_2 - x_1\vert\), we have \( d_{CD}=\vert779 - 777\vert=2\).

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

The coordinate of \( D \) is \( 779 \), and the coordinate of \( E \) is \( 781 \). Using the distance formula \( d=\vert x_2 - x_1\vert\), we have \( d_{DE}=\vert781 - 779\vert = 2\).

Step3: Check for congruence

Since \( d_{CD}=2\) and \( d_{DE}=2\), by the definition of congruent segments (segments with equal lengths), \( \overline{CD}\) and \( \overline{DE}\) are congruent.

Answer:

yes