3. Given: NOPR is a rectangle. Q is the midpoint of RP. NR = OP Prove: ANOQ is isosecles. R Statements Reasons Word Bank 1. 1. Given NOPR is a rectangle RP СРСТ Gis the midpoint of NR OP C HL 2. 2. NO = 00 RQ = PQ SAS AAS ZNRO = LOPO ASA ANOQ is isosceles SSS 3. 3. Altemate Interior Angles Theorem Definition of Midpoint Definition of Isosceles Triangle Definition of Rectangle All right angles are congruent ZOPO is a right angle ZNRQ is a right angle 4. 4. 5. 5.
3. Given: NOPR is a rectangle. Q is the midpoint of RP. NR = OP Prove: ANOQ is isosecles. R Statements Reasons Word Bank 1. 1. Given NOPR is a rectangle RP СРСТ Gis the midpoint of NR OP C HL 2. 2. NO = 00 RQ = PQ SAS AAS ZNRO = LOPO ASA ANOQ is isosceles SSS 3. 3. Altemate Interior Angles Theorem Definition of Midpoint Definition of Isosceles Triangle Definition of Rectangle All right angles are congruent ZOPO is a right angle ZNRQ is a right angle 4. 4. 5. 5.
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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Transcribed Image Text:2:10 O
Geometry - S1 - P04 - LINFORD, L |.
AAS
ABCD is a parallelogram
Definition FParallelogran
Reflexiveperty of Congrucnce
Altemate Interior Angles Theorem
ASA.
W 5.7 Quadril ..ofs HW.docx
6.
3. Given: NOPR is a rectangle.
Q is the midpoint of RP
NR = OP
Prove: ANOQ is isosecles.
R
Statements
Reasons
Word Bank
1.
1.
Given
NOPR is a rectangle
the midpoint of
СРСТ
C
HL
2.
ANRQ =OPQ NO = 00
2.
RO = PO
ZNRO = LOPO ASA
ANOO is isosceles
SAS
AAS
SS
3.
3.
Altemate Interior Angles Theorem
Definition of Midpoint
Definition of Isosceles Triangle
Definition of Rectangle
All right angles are congruent
ZOPO is a right angle
/NRQ is a right angle
4.
4.
5.
5.
6.
6.
7.
7.
4. Given: ABCD is a kite,
AB = AD& CB CD
Prove: AC bisects ZDAB & ZDCB
AC bisects BD
E
Page
2 1
4
Statements
Reasons
Word Bank
II
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