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question 1 of 10 true or false? the segment $overline{ab}$ is congruent…

Question

question 1 of 10 true or false? the segment $overline{ab}$ is congruent to the segment $overline{bc}$. a. true b. false

Explanation:

Step1: Recall congruent - segment definition

Two segments are congruent if they have the same length.

Step2: Analyze the circle - segments

In a circle, if a line passes through the center \(O\) and intersects the circle at \(A\) and \(C\) with \(B\) as the center - point (mid - point of \(AC\)), \(AB\) and \(BC\) are radii of the circle.

Step3: Use circle property

All radii of a circle are equal in length. So, \(\overline{AB}\) and \(\overline{BC}\) have the same length.

Answer:

A. True