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2. Through any two points, there exists 2. 1 exactly one line. 3. PQ || RS, QR || PS 3. Definition of parallelogram 4. ZPQS ZRSQ, ZPSQ = ZRQS 4. Alternate Interior Angles Theorem 5. QS SQ 5. Reflexive Property of Congruence 6. 2 6. ASA Congruence Theorem 7. Corresponding parts of congruent

2. Through any two points, there exists 2. 1 exactly one line. 3. PQ || RS, QR || PS 3. Definition of parallelogram 4. ZPQS ZRSQ, ZPSQ = ZRQS 4. Alternate Interior Angles Theorem 5. QS SQ 5. Reflexive Property of Congruence 6. 2 6. ASA Congruence Theorem 7. Corresponding parts of congruent

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Complete the two-column proof of the Parallelogram Opposite Sides Theorem
5. QS SQ 5. Reflexive Property of Congruence 6. 2 6. ASA Congruence Theorem 7. Corresponding parts of congruent 7. PQ RS, QR = SP triangles are congruent. Line 2 Box: 1 Line 6 Box: 2 APRS = ARSQ Draw line segment DS.
Transcribed Image Text:5. QS SQ 5. Reflexive Property of Congruence 6. 2 6. ASA Congruence Theorem 7. Corresponding parts of congruent 7. PQ RS, QR = SP triangles are congruent. Line 2 Box: 1 Line 6 Box: 2 APRS = ARSQ Draw line segment DS.
P. Given: PQRS is a parallelogram. Prove: PQ RS, QR SP 12 STATEMENTS REASONS 1. PQRS is a parallelogram. 1. Given 2. Through any two points, there exists 2. 1 exactly one line. 3. PQ || RS, QR || PS 3. Definition of parallelogram 4. ZPQS ZRSQ, ZPSQ = ZRQS 4. Alternate Interior Angles Theorem 5. QS SQ 5. Reflexive Property of Congruence 6. 6. ASA Congruence Theorem 7. Corresponding parts of congruent 7. PQ RS, QR SP triangles are congruent 2 étv MacBook Air
Transcribed Image Text:P. Given: PQRS is a parallelogram. Prove: PQ RS, QR SP 12 STATEMENTS REASONS 1. PQRS is a parallelogram. 1. Given 2. Through any two points, there exists 2. 1 exactly one line. 3. PQ || RS, QR || PS 3. Definition of parallelogram 4. ZPQS ZRSQ, ZPSQ = ZRQS 4. Alternate Interior Angles Theorem 5. QS SQ 5. Reflexive Property of Congruence 6. 6. ASA Congruence Theorem 7. Corresponding parts of congruent 7. PQ RS, QR SP triangles are congruent 2 étv MacBook Air
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