Triangle Congruency - CPCTC Mixed Problems. Corresponding Parts of Congruent Triangles are Congruent This rule is used AFTER we have proven two triangles.

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Triangle Congruency - CPCTC Mixed Problems

Corresponding Parts of Congruent Triangles are Congruent This rule is used AFTER we have proven two triangles congruent! We need to be able to determine what corresponding parts are, so lets figure it out…

StatementReason 1. Given 2. Given Pg. 8 #7 3. Reflexive postulate Part B: Three pairs of congruent angles

StatementReason 1. Given 2. Given Pg. 8 #8 3. Reflexive postulate Part B: Three more congruent parts

StatementReason 1. Given 2. Given Pg. 8 #9 3. An angle bisector divides an angle into two congruent parts Part B: Three more congruent parts 4. Reflexive postulate

StatementReason 1. Given 2. Segment bisectors divide a segment into two congruent parts Pg. 8 #10 3. Vertical angles are congruent 5. Corresponding parts of congruent triangles are congruent

StatementReason 1. Given 2. Given Pg. 8 #11 3. Reflexive postulate 5. Corresponding parts of congruent triangles are congruent

StatementReason 1. Given 2. Given Pg. 8 #12 3. Reflexive postulate 5. Corresponding parts of congruent triangles are congruent

StatementReason 1. Given 2. Given Pg. 8 #13 7. Reflexive postulate 9. Corresponding parts of congruent triangles are congruent 3. Given 4. Addition Postulate 5. Partition Postulate 6. Substitution Postulate

8. Corresponding parts of congruent triangles are congruent StatementReason 1. Given 2. Given Pg. 9 #15 3. An angle bisector divides an angle into two congruent parts 6. Reflexive postulate 4. Perpendicular segments form right angles 5. All right angles are congruent

StatementReason 1. Given 2. Given Pg. 9 #16 7. Reflexive postulate 9. Corresponding parts of congruent triangles are congruent 3. Given 4. Addition Postulate 5. Partition Postulate 6. Substitution Postulate

StatementReason 2. Given Pg. 9 #17 5. Perpendicular segments form right angles 1. Given 4. A segment bisector divides a segment into 2 congruent parts 3. Given 6. All right angles are congruent 7. Subtraction Postulate 8. Partition Postulate 9. Substitution Postulate 11. Corresponding parts of congruent triangles are congruent

StatementReason 1. Given 2. Given Pg. 9 #18 7. Vertical angles are congruent 9. Corresponding parts of congruent triangles are congruent 3. Given 6. Substitution Postulate 4. Given 5. A midpoint divides a segment into 2 congruent parts

StatementReason 1. Given 2. Given Pg. 9 #21 3. Reflexive postulate 5. Corresponding parts of congruent triangles are congruent