Download 3.5 - Practice with Easy Triangle Proofs

Analytic Geometry
3.5 – WS
More Practice with Proving Triangles
Name: _______________________________________ Date: ______
Matching: Use the choices listed at the bottom in the box for problems #1 – 4
Problem 1:
1.
2.
3.
4.
Statement
LM  LO
MN  ON
LN  LN
LMN  LON
1.
2.
3.
4.
5.
Statement
QS RT
R  S
1  2
QT  QT
QST  TRQ
1.
2.
3.
4.
Statement
GI  KI
HI  JI
GIH  KIJ
GIH  KIJ
Reason
1.
2.
3.
4.
Problem 2:
Reason
1.
2.
3.
4.
5.
Problem 3:
Reason
1.
2.
3.
4.
Problem 4:
Statement
1. AC BD, AB CD
2. 1  4, 2  3
3. AD  AD
4. ADC  DAB
Reason
1.
2.
3.
4.
Choices for problems #1 – 4 (some will be used more than once):
AAS
ASA
Alternate Interior Angles are 
Given
Reflexive Property
SAS
SSS
Vertical Angles are 
Hillgrove High School
Analytic Geometry
3.5 – WS
More Practice with Proving Triangles
Fill in the blank proofs:
Problem 5:
1.
2.
3.
4.
Statement
I  K
IHJ  KJH
HJ  HJ
HJK  JHI
Reason
1.
2.
3.
4.
Problem 6:
Statement
1. MLN  ONL
2. OLN   _____
3.
4. LNO  NLM
Reason
1.
2. Given
3. Reflexive Property
4.
Problem 7:
Statement
1. PQ  QS
2.
3. PQT  RQS
4. PQT  SQR
Reason
1.
2. Given
3.
4.
Problem 8:
Statement
1. UV  UX
2.
3.
5. UWV  UWX
Reason
1.
2. Right Angle Congruence
3. Reflexive Property
5.
Problem 9:
Statement
1. Y  C
2.
3.
4. YZA  CBA
Reason
1.
2. Given
3. Vertical Angles
4.
Hillgrove High School
Analytic Geometry
3.5 – WS
More Practice with Proving Triangles
Problem 10:
Statement
1. BAC  DCA
2.
3.
4. ABC  CDA
Reason
1. Given
2. Given
3.
4.
Problem 11:
Statement

1. F  I
2.  ___   ___
3.
4. EFG  HIJ
Reason
1.
2.
3.
4.
Problem 12:
1.
2.
3.
4.
5.
Statement
 ___  M
KLO   ____
KLO  NLM
K  N
Reason
1. Given
2. Given
3.
4.
5. CPCTC
Problem 13:
Statement
1. P   ___
2.
3.
4. PQS  RSQ
Reason
1.
2.
3. Reflexive
4.
Problem 14:
Statement
1. AC BD
2.
3. CAD  BDA
4.
5. ACD   ______
Reason
1.
2. Given
3.
4. Reflexive Property
5.
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