Sec' 46 Solutions

1
Sec. 4-6 Solutions

• Problems 1-9 all

2

• 1.
• Given ?A ?C ?ABD ?CBD
• Prove AB CB
• Statement
  Reason
• 1. ?A ?C ?ABD ?CBD 1. Given
• 2. BD BD
  2. Reflexive Property
• 3. ?ABD ? ?CBD 3.
  AAS
• 4. AB CB
  4. Corr. parts of ? ?s are .
• 
  ( CPCTE )

B
A
C
D
3

• 2.
• Given CN WN ?C ?W
• Prove RN ON
• Statement Reason
• 1. CN WN ?C ?W 1. Given
• 2. ?CNR ?WNO 2. Vert. angles
  are .
• 3. ?RCN ? ?OWN 3. ASA
• 4. RN ON 4. CPCTE

C
W
N
R
O
4

• 3.
• Given CS HR ?1 ?2
• Prove CR HS
• Cannot be determined. You cannot prove that ?CSH
  is ? to ?HRC. SSA is not a method to show two ?s
  ?.

I
R
S
V
1
2
H
C
5

• 4.
• Given ?S ?I ?G ?A T is the midpt. of SI.
• Prove SG IA
• Statement Reason
• 1. ?S ?I ?G ?A 1. Given
• T is the midpt. of SI.
• 2. TI TS
  2. Defn of a midpoint
• 3. ?AIT ? ?GST 3.
  AAS
• 4. SG IA
  4. CPCTE

I
G
N
T
R
Y
A
S
6

• 5.
• Given FO FR UO UR
• Prove ?O ?R
• Statement Reason
• 1. Draw UF 1.
  Through 2 pts exactly 1 line
• 
  can be drawn.
• 2. FO FR UO UR 2. Given
• 3. FU FU 3.
  Reflexive Property
• 4. ?OFU ? ?RFU 4. SSS
• 5. ?O ?R 5.
  CPCTE

F
U
O
R
7

• 6.
• Given MN MA ME MR
• Prove ?E ?R
• Statement Reason
• 1. MN MA ME MR 1. Given
• 2. ?M ?M 2.
  Reflexive Property
• 3. ?EMA ? ?RMN 3. SAS
• 4. ?E ?R 4.
  CPCTE

E
N
Y
R
M
A
8

• 7.
• Given BT EU BU ET
• Prove ?B ?E
• Statement Reason
• 1. Draw UT 1.
  Through 2 pts exactly 1 line
• 
  can be drawn.
• 2. BT EU BU ET 2. Given
• 3. UT UT 3.
  Reflexive Property
• 4. ?BUT ? ?ETU 4. SSS
• 5. ?B ?E 5.
  CPCTE

E
B
R
T
U
9

• 8.
• Given HALF is a parallelogram
• Prove HA HF
• Statement Reason
• Cannot be determined because HA and HF
• are not corresponding parts of the two triangles.

H
A
F
L
10

• 9.
• Given ?D ?C ?O ?A ?G ?T
• Prove TA GO
• Statement Reason
• Cannot be proved. AAA does not prove two
  triangles are congruent.

G
T
A
D
C
O