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CPCT. Daniela Soto. Corresponding Parts of Congruent Triangles. It can be used as a justification in a proof, to prove that if every part of a triangle is congruent to every part of another triangle, the two triangles are congruent. 1. Given. 1. EG = DF. E. D. 2. Given. 2. EG || DF.
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CPCT • Daniela Soto
Corresponding Parts of Congruent Triangles It can be used as a justification in a proof, to prove that if every part of a triangle is congruent to every part of another triangle, the two triangles are congruent.
1. Given 1. EG = DF E D 2. Given 2. EG || DF 3. Alternate Interior <s Thrm. 3. <EGD = <FDG G F Prove: ED || GF 4. Reflexive 4. GD = DG 5. EGD = FDG 5. SAS 6. <EGD = <FDG 6. CPCT <--- 7. Converse of Alternate Interior <s Thrm. 7. ED || GF
A D 1. AB = DC 1. Given B C 2.<ABC =<DCB 2.Given Prove: <A = <D 3. BC = CB 3. Reflexive 4. ABC = DCB 4. SAS 5. <A = <D 5. CPCT <--