Proving Triangles Congruent

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Presentation transcript:

Proving Triangles Congruent Mixed Problems

Statement Reason 1. Given 2. Given Pg. 7 #1 Statement Reason 1. Given 2. Given 3. A midpoint divides a segment into 2 congruent parts 4. 2 adjacent angles that form a straight line are a linear pair 5. Linear pairs are supplementary 6. Supplements of congruent angles are congruent 7. Vertical angles are congruent

Statement Reason 1. Given 2. Given 3. Given 4. Given Pg. 7 #2 Statement Reason 1. Given 2. Given 3. Given 4. Given 5. Perpendicular segments form right angles 6. All right angles are congruent 7. Reflexive postulate 8. Subtraction Postulate 9. Partition Postulate 10. Substitution Postulate

Pg. 7 #3 Statement Reason 1. Given 2. Given 3. Reflexive postulate

Statement Reason 1. Given 2. Given Pg. 7 #4 Statement Reason 1. Given 2. Given 3. A median extends from a vertex to a midpoint of the opposite side of a triangle. 4. A midpoint divides a segment into 2 congruent parts 5. Reflexive postulate

Statement Reason 1. Given 2. Given 3. Given Pg. 7 #5 Statement Reason 1. Given 2. Given 3. Given 4. A median extends from a vertex to a midpoint of the opposite side of a triangle. 5. A midpoint divides a segment into 2 congruent parts 6. Addition Postulate 7. Partition Postulate 8. Substitution Postulate 9. Reflexive postulate

Statement Reason 1. Given 2. Given 3. Given 4. Given Pg. 7 #7 Statement Reason 1. Given 2. Given 3. Given 4. Given 5. A midpoint divides a segment into 2 congruent parts 6. Substitution postulate

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