4-6 (CPCTC) Practice Main idea: FIRST, if I prove the congruent

4-6 (CPCTC) Practice
Main idea: FIRST, if I prove the _________________________ congruent, THEN I can state that any of the
____________________________ are congruent (by Corresponding Parts of Congruent Triangles are β‰…)
1)
Given: 𝐺𝑇≅ π‘‡π‘ˆ, T is the midpoint of 𝑆𝐼 Prove: 𝐺𝐼 β‰… π‘†π‘ˆ Statement 1.
Reason 1.
2. 2. 3. 4. 5. 5. 2)
Given: 𝑅𝑆 bisects ∠TSD and ∠TRD Prove: ∠T β‰… ∠D 3. 4. Statement 1. 𝑅𝑆 bisects ∠TSD and ∠TRD
2. Reason 1.
2. 3. 4. 5. 3. 4. 5. 6.
6.
Proofs with Overlapping Triangles:
3)
Given: ∠D β‰… ∠C, ∠DBA β‰… ∠CAB Prove: 𝐷𝐴 β‰… 𝐢𝐡 Statement Reason 1.
1.
2. 3. 4. 2. 3. 4. 5.
4)
5.
Given: 𝑅𝑆 β‰… 𝑅𝑇, ∠S β‰… ∠T
Prove: ∠S β‰… ∠T Statement 1.
Reason 1.
2. 3. 4. 2. 3. 4. 5.
5.