10/8/12 triangles unit congruent triangle proofs
TRANSCRIPT
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10/8/12
Triangles Unit
Congruent Triangle Proofs
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Problem 1 Given: AB CD BC DAProve: ABC CDA
Statements Reasons
Step 1: Mark the Given Step 2: Mark reflexive sidesStep 3: Choose a Method (SSS /SAS/ASA )Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?
A B
D C
SSS
Given
Given
Reflexive Property
SSS Postulate4. ABC CDA
1. AB @ CD2. BC @ DA3. AC @ CA
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Problem 2
Step 1: Mark the Given Step 2: Mark vertical anglesStep 3: Choose a Method (SSS /SAS/ASA)Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?
SAS
Given
Given
Vertical Angles.
SAS Postulate
: ;
Pr :
Given AB CB EB DB
ove ABE CBD
E
C
D
AB
1. AB CB2. ABE CBD
3. EB DB4. ABE CBD
Statements Reasons
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Problem 3
Statements Reasons
Step 1: Mark the Given Step 2: Mark reflexive sidesStep 3: Choose a Method (SSS /SAS/ASA)Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?
ASA
Given
Given
Reflexive Postulate
ASA Postulate
: ;
Pr :
Given XWY ZWY XYW ZYW
ove WXY WZY
Z
W Y
X 1. XWY ZWY
2. WY WY3. XYW ZYW
4. WXY WZY
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Problem 4
Statements Reasons
Step 1: Mark the Given Step 2: Mark vertical anglesStep 3: Choose a Method (SSS /SAS/ASA/AAS/ HL )Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?
AAS
Given
Given
Vertical Angle Thm
AAS Postulate
Given: A C BE BDProve: ABE CBD
E
C
D
AB
1. A C2. ABE CBD
3. BE BD
4. ABE CBD
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Problem 5
3. AC AC2. AB AD
1. ,ABC ADCright s
Step 1: Mark the Given Step 2: Mark reflexive sidesStep 3: Choose a Method (SSS /SAS/ASA/AAS/ HL )Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?
HL
Given
Given
Reflexive Property
HL Postulate
Given: ABC, ADC right s AB ADProve: ABC ADC
CB D
A
4. ABC ADC
Statements Reasons