1. Proving Triangles Congruent
Mixed Problems

2. 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

3. 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

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

5. 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

6. 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

7. 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

8. 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