C. The following are proofs of the properties of parallelograms. Supply the missing parts of the proof. 1. Opposite sides of a parallelogram are congruent. C B Given: Quadrilateral ABCD is a parallelogram. Prove: AB = DC; AD BC Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. Draw AC. 2. Line postulate 3. AB || CD; AD || CB 4. 212 24; 2 쓴 23 3. 4. 5. AC CA 5. Reflexive property 6. AABC = ACDA 6. 7. AB스 DC; AD BC 7.

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
Section4.1: Properties Of A Parallelogram
Problem 27E: In Exercises 27-30, use the definition of a parallelogram to complete each proof. Given:RS-VT-,...
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C. The following are proofs of the properties of parallelograms. Supply the missing parts of the
proof.
1. Opposite sides of a parallelogram are congruent.
A
Given: Quadrilateral ABCD is a parallelogram.
Prove: AB DC; AD= BC
Proof:
Scatements
Reasons
1. Quadrilateral ABCD is a parallelogram.
1. Given
2. Draw AC.
2. Line postulate
3. AB | CD; AD || CB
4. ZlE 24; 22 23
5. AC CA
5. Reflexive property
6. AABC = ACDA
7. AB DC; AD = BC
7.
23.
456
Transcribed Image Text:C. The following are proofs of the properties of parallelograms. Supply the missing parts of the proof. 1. Opposite sides of a parallelogram are congruent. A Given: Quadrilateral ABCD is a parallelogram. Prove: AB DC; AD= BC Proof: Scatements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. Draw AC. 2. Line postulate 3. AB | CD; AD || CB 4. ZlE 24; 22 23 5. AC CA 5. Reflexive property 6. AABC = ACDA 7. AB DC; AD = BC 7. 23. 456
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