Fill in the blanks in the proof to show that diagonals of a parallelogram bisect each other. Given: DABCD Prove: AC and BD bisect each other at E. Statements 1) ABCD is a parallelogram. 2) AB || DC 3) 21 24; 42 43 4) AB = DC 5) c. _ 6) d. 7) AC and BD bisect each other at E. Reasons 1) Given 2) Definition of a parallelogram 3) a. L 4) ь. 5) ASA 6) CPCTC 7) Definition of bisector The correct choice for Blank c is AABE ADCE AABC = ADCB AABE = ACDE ABCE ADAE

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