Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Given: Quadrilateral PQRS with PO || RS and PQ = RS.
Hector began a proof using the following argument.
1. PQ = RS and PQ || RS
(Given)
2. Quadrilateral PQRS is a parallelogram by Properties of Parallelograms (opposite sides parallel and congruent)
3. PS || QR by Definition of Parallelogram.
Which statement is a valid conclusion to Hector's argument?
Quadrilateral PQRS is a rhombus.
O Quadrilateral PQRS is a kite.
O PQ = QR
O PS = QR
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Transcribed Image Text:Given: Quadrilateral PQRS with PO || RS and PQ = RS. Hector began a proof using the following argument. 1. PQ = RS and PQ || RS (Given) 2. Quadrilateral PQRS is a parallelogram by Properties of Parallelograms (opposite sides parallel and congruent) 3. PS || QR by Definition of Parallelogram. Which statement is a valid conclusion to Hector's argument? Quadrilateral PQRS is a rhombus. O Quadrilateral PQRS is a kite. O PQ = QR O PS = QR
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