Complete the paragraph proof of Theorem 6-2-4 by filling in the blanks.Given: ABCD is a

Chapter 6, Problem 44

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Complete the paragraph proof of Theorem 6-2-4 by filling in the blanks.Given: ABCD is a parallelogram.Prove:AC and BD bisect each other at E.Proof: It is given that ABCD is a parallelogram. By the definition of a parallelogram, AB a. ? . By the Alternate Interior Angles Theorem, 1 b. ? , and3 c. ? . AB CD because d. ? . This means that ABE CDE by e. ? . So by f. ? , AE CE , and BE DE . Therefore AC and BD bisect each other at E by the definition of g. ? .

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