3. Diagonals of a parallelogram bisect each other.D.C.1Given: Quadrilateral ABCD is a parallelogram.Prove: DB bisects AC; AC bisects DBProof:StatementsReasons1. Quadrilateral ABCD is aparallelogram.1. Given2. Definition of a parallelogram2. AB || CD; AD || CB3.3. Alternate interior angles theorem4. DA= BC4. Opposite sides of a parallelogram are congruent.5. ADAE= ABCE5. 6.6. СРСТС7. DB bisects AC;AC bisects DB.7.

Answered: Image /qna-images/answer/4aeea3fb-364a-409d-ae13-4b06d1db6042.jpg

A Given: Quadrilateral ABCD is a parallelogram. Prove: DB bisects AC; AC bisects DB Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. AB || CD; AD || CB 2. Definition of a parallelogram 3. 3. Alternate interior angles theorem 4. DA BC 4. Opposite sides of a parallelogram are congruent. 5. ADAE = ABCE 5.

A Given: Quadrilateral ABCD is a parallelogram. Prove: DB bisects AC; AC bisects DB Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. AB || CD; AD || CB 2. Definition of a parallelogram 3. 3. Alternate interior angles theorem 4. DA BC 4. Opposite sides of a parallelogram are congruent. 5. ADAE = ABCE 5.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.CR: Review Exercises

Problem 15CR: Review Exercises The diagonals of ABCD not shown are perpendicular. If one diagonal has a length of...

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