A partially completed proof is shown. Given: Parallelogram PQRS with diagonals PRand SQ intersecting at 0. Prove: PR and SQ bisect each other. Complete the following two-column proof using the drop down menu options. Statements Reasons 1. Parallelogram PQRS with diagonals PRand SQ intersecting at O. 1. Given 2. 2. RQ SP; SR~ PQ 3. ZSRP LQPR 3. Alternate Interior Angles Theorem /PQS= /RSQ 14. 14. ΔΡΟΟ~ ΔROS 5. 50 OQ PO-OR 6. O is the midpoint of SQ. O is the midpoint of PR. 15. СРСТC 8. 7. PRand SQ bisect each other.

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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Related questions
Question
1. Given
2.
Definition of midpoint
Definition of parallelogram
Definition of segment bisector
Side Angle Side Theorem
Angle Side Side Theorem
Opposite sides of a parallelogram are congruent
Angle Side Angle Theorem
6.
7.
Transcribed Image Text:1. Given 2. Definition of midpoint Definition of parallelogram Definition of segment bisector Side Angle Side Theorem Angle Side Side Theorem Opposite sides of a parallelogram are congruent Angle Side Angle Theorem 6. 7.
A partially completed proof is shown.
Given: Parallelogram PQRS with diagonals PRand SQ intersecting at 0.
Prove: PR and SQ bisect each other.
Complete the following two-column proof using the drop down menu options.
Statements
Reasons
1. Parallelogram PQRS with diagonals
PRand SQ intersecting at O.
1. Given
2.
2. RQ SP; SR~ PQ
3. ZSRP LQPR
3. Alternate Interior Angles Theorem
/PQS= /RSQ
14.
14. ΔΡΟΟ~ ΔROS
5. 50 OQ
PO-OR
6. O is the midpoint of SQ.
O is the midpoint of PR.
15. СРСТC
8.
7. PRand SQ bisect each other.
Transcribed Image Text:A partially completed proof is shown. Given: Parallelogram PQRS with diagonals PRand SQ intersecting at 0. Prove: PR and SQ bisect each other. Complete the following two-column proof using the drop down menu options. Statements Reasons 1. Parallelogram PQRS with diagonals PRand SQ intersecting at O. 1. Given 2. 2. RQ SP; SR~ PQ 3. ZSRP LQPR 3. Alternate Interior Angles Theorem /PQS= /RSQ 14. 14. ΔΡΟΟ~ ΔROS 5. 50 OQ PO-OR 6. O is the midpoint of SQ. O is the midpoint of PR. 15. СРСТC 8. 7. PRand SQ bisect each other.
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