1. A proof with some missing statements and reasons is shown. Given: PQRS is a parallelogram. PQ QR Prove: PQRS is a rhombus. Orag the correct statement from the statements column and the correct reasons from the reasons olumn to complete line 3 of the proof. Statement Reason 1. 1. Given 2. 2. Given 3. 3. 4. 4. 5. PQ QR RS SP 5. 6. PQRS is a rhombus. 6|

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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1. A proof with some missing statements and reasons is shown.
Given: PORS is a parallelogram.
PO QR
Prove: PORS is a rhombus.
S
Drag the correct statement from the statements column and the correct reasons from the reasons
column to complete line 3 of the proof.
Statement
Reason
1.
1. Given
2.
2. Given
3.
3.
4.
4.
5. PQ QR RS SP
5.
6. PQRS is a rhombus.
6|
Statements
Reasons
PT TR and ST & TQ
Opposite sides of a
parallelogram are congruent.
ΔΡΤΟ ΔΟTR
Diagonals of a parallelogram
bisect each other
Opposite angles of a
parallelogram are congruent.
PO SR and PS QR
Z SPQ È L QRS
Side-Side-Side
Transcribed Image Text:1. A proof with some missing statements and reasons is shown. Given: PORS is a parallelogram. PO QR Prove: PORS is a rhombus. S Drag the correct statement from the statements column and the correct reasons from the reasons column to complete line 3 of the proof. Statement Reason 1. 1. Given 2. 2. Given 3. 3. 4. 4. 5. PQ QR RS SP 5. 6. PQRS is a rhombus. 6| Statements Reasons PT TR and ST & TQ Opposite sides of a parallelogram are congruent. ΔΡΤΟ ΔΟTR Diagonals of a parallelogram bisect each other Opposite angles of a parallelogram are congruent. PO SR and PS QR Z SPQ È L QRS Side-Side-Side
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