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Step-by-step explanation:

Point C is on the line t. Since t bisects line AB, segment At= segment Bt. Also, Since line t is a perpendicular bisector, it makes congruent right angles AtC and BtC, both having the measure of 90 degrees. Due to the reflective property of congruence, segment tC= segment tC. Due to SSA theorem of congruence, triangles AtC and BtC are congruent. AC and BC are congruent due to Corresponding Parts of Congruent Triangles Are Congruent Theorem.

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