Question

determine whether \\( \overline{ac} \\) and \\( \overline{cd} \\) are congruent. select yes or no.
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(number line with points a at -9, b at -6, c at -4, d at 2, e at 7, f at 10)

Explanation:

Step1: Find coordinates of A, C, D

A is at -9, C is at -4, D is at 2.

Step2: Calculate length of AC

Length \( AC = | -4 - (-9) | = |5| = 5 \)

Step3: Calculate length of CD

Length \( CD = | 2 - (-4) | = |6| = 6 \)

Step4: Compare lengths

Since \( 5
eq 6 \), \( \overline{AC} \) and \( \overline{CD} \) are not congruent.

Answer:

No