Triangle Congruency: Cpctc - Finding Angles Worksheet With Answer Key Page 5
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9Name: ________________________
ID: B
a.
1. Congruent Complements Theorem
c.
1. Congruent Supplements Theorem
2. ∠ACB ≅ ∠ACD
2. ∠CAB ≅ ∠CAD
3. Reflexive Property of Congruence
3. Transitive Property of Congruence
4. CPCTC
4. AAS
5. AAS
5. CPCTC
b.
1. Congruent Complements Theorem
d.
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
2. A pilot uses triangles to find the angle of elevation ∠A from the ground to her plane. How can she find m ∠A ?
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a.
∆ABO ≅ ∆CDO by CPCTC
∠A ≅ ∠C by ASA
Therefore, m ∠A = 40 ° by substitution.
b.
∆ABO ≅ ∆CDO by CPCTC
∠A ≅ ∠C by SAS
Therefore, m ∠A = 40 ° by substitution.
∆ABO ≅ ∆CDO by ASA
c.
∠A ≅ ∠C by CPCTC
Therefore, m ∠A = 40 ° by substitution.
d.
∆ABO ≅ ∆CDO by SAS
∠A ≅ ∠C by CPCTC
Therefore, m ∠A = 40 ° by substitution.
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