Triangle Congruency: Cpctc - Finding Angles Worksheet With Answer Key Page 2
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9Name: ________________________
ID: A
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2. Given: ∠CBF ≅ ∠CDG , AC bisects ∠ BAD
Prove: AD ≅ AB
Complete the flowchart proof.
Proof:
∠CBF ≅ ∠CDG
∠ABC ≅ ∠ADC
Given
1.
2.
∆ACB ≅ ∆ACD
AC bisects
AD ≅ AB
∠BAD
Given.
Definition of
4.
5.
angle bisector.
AC ≅ AC
3.
a.
1. Congruent Complements Theorem
c.
1. Congruent Supplements Theorem
2. ∠ACB ≅ ∠ACD
2. ∠CAB ≅ ∠CAD
3. Transitive Property of Congruence
3. Reflexive Property of Congruence
4. CPCTC
4. AAS
5. AAS
5. CPCTC
b.
1. Congruent Supplements Theorem
d.
1. Congruent Complements Theorem
2. ∠CAB ≅ ∠CAD
2. ∠ACB ≅ ∠ACD
3. Transitive Property of Congruence
3. Reflexive Property of Congruence
4. AAS
4. CPCTC
5. CPCTC
5. AAS
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