3. Alternate Interior Angles Theorem - СРСТС

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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Complete the following two-column proof using the drop down menu options.
Statements
Reasons
1. Parallelogram PQRS with diagonals
PR and SQ intersecting at O.
1. Given
2.
2. RQ SP; SR PQ
3. ZSRP LQPR
ZPQS LRSQ
3. Alternate Interior Angles Theorem
4. APOQ AROS
4.
5. SO OQ
15. СРСТС
PO OR
6. O is the midpoint of SQ.
6.
O is the midpoint of PR.
7. PR and SQ bisect each other.
7.
Transcribed Image Text:Complete the following two-column proof using the drop down menu options. Statements Reasons 1. Parallelogram PQRS with diagonals PR and SQ intersecting at O. 1. Given 2. 2. RQ SP; SR PQ 3. ZSRP LQPR ZPQS LRSQ 3. Alternate Interior Angles Theorem 4. APOQ AROS 4. 5. SO OQ 15. СРСТС PO OR 6. O is the midpoint of SQ. 6. O is the midpoint of PR. 7. PR and SQ bisect each other. 7.
- partially completed proof is shown.
siven: Parallelogram PQRS with diagonals PR and SQ intersecting at O.
"rove: PR and SQ bisect each other.
Q,
Complete the following two-column proof using the drop down menu options.
Statements
Reasons
1. Parallelogram PQRS with diagonals
PR and SQ intersecting at O.
1. Given
2. RQ SP; SR PQ
2.
3. ZSRP LQPR
/PQS LRSQ
3. Alternate Interior Angles Theorem
Transcribed Image Text:- partially completed proof is shown. siven: Parallelogram PQRS with diagonals PR and SQ intersecting at O. "rove: PR and SQ bisect each other. Q, Complete the following two-column proof using the drop down menu options. Statements Reasons 1. Parallelogram PQRS with diagonals PR and SQ intersecting at O. 1. Given 2. RQ SP; SR PQ 2. 3. ZSRP LQPR /PQS LRSQ 3. Alternate Interior Angles Theorem
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