Complete the following two-column proof using the drop down menu options.StatementsReasons1. Parallelogram PQRS with diagonalsPR and SQ intersecting at O.1. Given2.2. RQ SP; SR PQ3. ZSRP LQPRZPQS LRSQ3. Alternate Interior Angles Theorem4. APOQ AROS4.5. SO OQ15. СРСТСPO OR6. 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.StatementsReasons1. Parallelogram PQRS with diagonalsPR and SQ intersecting at O.1. Given2. RQ SP; SR PQ2.3. ZSRP LQPR/PQS LRSQ3. Alternate Interior Angles Theorem

Answered: 3. Alternate Interior Angles Theorem -…

Math

Geometry

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.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

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

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step1-: If a quadrilateral is a parallelogram ,then each pair of its opposite sides is equal.

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Step 2(4) By ASA (angle ,side, angle) congruence.

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Step 3 By Midpoint formula or matching sides of congruent triangles.

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Step 4(7) O is the Midpoint of PR and SQ.

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