Question

a) which line segments are congruent? b) which line segment is the longest? a b c d -4 -3 -2 -1 0 1 2

Explanation:

Step1: Recall congruent - segment definition

Congruent line - segments have equal lengths.

Step2: Calculate lengths of segments

Length of \(AB=|-2 - (-4)| = 2\), length of \(BC=|0-(-2)| = 2\), length of \(CD=|2 - 0| = 2\). Since \(AB = BC=CD = 2\), segments \(AB\), \(BC\), and \(CD\) are congruent.

Step3: Calculate lengths of longer - range segments

Length of \(AC=|0-(-4)| = 4\), length of \(AD=|2-(-4)| = 6\), length of \(BD=|2-(-2)| = 4\).

Answer:

A) \(AB\), \(BC\), \(CD\)
B) \(AD\)