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Geometry
Assignment 5F Ordering
Statements in Proofs
Name _____________________________
Period ________ Date ________________
For questions 1-5, decide which congruence
postulate, if any, you can use to prove that
the given triangles are congruent.
6.
Given the diagram below.
F
K
Write the congruence statement and
identify the postulate.
1.
BDC  ______ by _______
B
J
F
H
G
C
D
2.
Which corresponding parts need to
be congruent in order to prove
FJH  GJK by SSS?
G
E
a. HJF  KJG
HGF  ______ by _______
G
b. FJ  GJ
c. FH  GK
H
3.
F
d. FHJ  GKJ
E
FGJ  ______ by _______
7.
Given the diagram below.
A
4.
BKQ  ______by _______
B
E
F
C
D
If BC  EF , which congruence
postulate/theorem justifies that
ABC  DEF ?
a. HL
b. SAS
5.
XYZ  ______ by _______
c. SSS
d. AAS
e. ASA
Revised 10/23/2011
page 1 of 3
Printed 10/30/2012
Geometry
Assignment 5F Ordering
Statements in Proofs
Name _____________________________
Period ________ Date ________________
THE FOLLOWING PROOF IS OUT OF ORDER.
THE FOLLOWING PROOF IS OUT OF ORDER.
Given: FH bisects GFJ and GHJ
Given: AB  AD and DE  AD , BC  EC
Prove:  GFH   JFH
Prove: ABC  DEC
G
F
2
1
E
3
4
A
H
C
D
J
B
Statements
1. 2  1
3  4
Reasons
1. Definition of
angle bisector
Statements
1. ACB  DCE
Reasons
1. Vertical Angles
Are congruent
2.  GFH   JFH
2. ASA
2. A  D
3. FH bisects
GFJ and GHJ
3. Given
2. all right angles
are congruent
(Euclid)
4. FH  FH
3. AB  AD
DE  AD
BC  EC
3. Given
4. Reflexive property
4. ABC  DEC
4. AAS
5. A and D
are right angles
5. Definition of
perpendicular
8.
9.
10.
What statement must go last?
What statement is generally stated
first?
12.
What statement must go last?
13.
Can statement 2 go before statement 5?
Can statement 4 go first? _________
Explain.
Explain.
11.
What is a correct order for the
statements in the proof?
3  ______  ______  ______
14.
What is a correct order for the
statements in the proof?
3  _____  _____  1  _____
Revised 10/23/2011
page 2 of 3
Printed 10/30/2012
Geometry
Assignment 5F Ordering
Statements in Proofs
Name _____________________________
Period ________ Date ________________
THE FOLLOWING PROOF IS OUT OF ORDER.
Given:
MH  MK ; HJ  KJ
MJH and MJK are right angles
19. Given: HJ  KM ,
MJH  JMK
Prove: MJH  JMK
M
Prove: H  K
FILL IN THE MISSING INFORMATION IN THE
FOLLOWING PROOF.
J
H
M
H
J
K
Statements
Reasons
Statements
1. MJH  MJK
Reasons
1. HL
1. HJ  KM ,
MJH  JMK
1. Given
2. MJH  MJK
2. All right angles
are congruent
(Euclid)
2. MJ  JM
2.
3. H  K
3. CPCTC
3. MJH  JMK
3.
4. MH  MK ; HJ  KJ
MJH and MJK
are right angles
4. Given
15.
Given a b.
m1 = (5a)o and m2 = (2a + 12)o
20.
Can reason 3 go before
reason 1? _____________
What term best describes angles 1 and 2?
Explain.
What are the measures of angles 1 and 2?
.
16.
What statement must go last?
17.
Can statement 2 go before
statement 4? _____________
1
a
b
2
t
Explain.
21.
18.
K
Which segments are skew to AB ?
F
What is a correct order for the
statements in the proof?
E
H
G
______  ______  ______  ______
B
A
Revised 10/23/2011
page 3 of 3
C
D
Printed 10/30/2012