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Published byWilfred Ferguson Modified over 9 years ago
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CPCTC Congruent Triangles
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StatementReason 1. Given 2. Given Pg. 3 #1 3. An angle bisector divides an angle into two congruent parts 4. Reflexive postulate 6. CPCTC
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StatementReason 1. Given 2. Given Pg. 3 #2 3. A segment bisector divides a segment into two congruent parts 4. Reflexive postulate 6. CPCTC
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StatementReason 1. Given 2. Given Pg. 3 #3 3. Perpendicular segments form right angles 5. Reflexive postulate 4. All right angles are congruent
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StatementReason 1. Given 2. Given Pg. 3 #4 3. Two adjacent angles that form a straight line are a linear pair 4. Linear pairs are supplementary 5. Supplements of congruent angles are congruent 6. Sides opposite congruent angles of a triangle are congruent
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StatementReason 1. Given 3. Given Pg. 3 #5 4. Perpendicular segments form right angles 6. A segment bisector divides a segment into 2 congruent parts 7. Vertical angles are congruent 2. Given 9. CPCTC 5. All right angles are congruent
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StatementReason 1. Given 2. Given Pg. 3 #6 3. Two adjacent angles that form a straight line are a linear pair 4. Linear pairs are supplementary 5. Supplements of congruent angles are congruent 6. Reflexive postulate
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StatementReason 1. Given 2. Given Pg. 3 #7 3. An angle bisector divides an angle into two congruent parts 4. Reflexive postulate 6. CPCTC
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StatementReason 1. Given 2. Given Pg. 3 #8 3. Given 4. Reflexive postulate 5. Addition postulate 6. Partition postulate 7. Substitution postulate 9. CPCTC
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StatementReason 2. Given Pg. 4 #9 4. Perpendicular segments form right angles 1. Given 3. Given 7. Reflexive Postulate 9. CPCTC 6. Triangles with right angles are right triangles 5. All right angles are congruent
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StatementReason 2. Given Pg. 4 #10 5. Perpendicular segments form right angles 1. Given 3. Given 6. All right angles are congruent 7. Reflexive Postulate 4. Given 8. Subtraction Postulate 9. Partition Postulate 10. Substitution Postulate 12. CPCTC
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StatementReason 1. Given 2. Given Pg. 4 #12 3. An angle bisector divides an angle into two congruent parts 4. Reflexive postulate 6. CPCTC 7. Angles opposite congruent sides of a triangle are congruent.
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