1. Introduction to Proofs
Geometry Chapter 2
Mr. Dorn

2. Introduction to Proofs
Given: Prove: x = 4
Statements
Reasons 1. 2. 3. 4. 5. 6.
Given
Mult. Prop. (=)
Dist. Prop. (=)
Subtr. Prop. (=)
Div. Prop. (=)
Sym. Prop. (=)

3. Introduction to Proofs
Given: Points P, Q, R, and S are collinear.
Prove: PQ = PS - QS P Q R S
Statements
Reasons
1. Points P, Q, R, and S are collinear. 1.
2. PS = PQ + QS 2.
3. PS – QS = PQ 3.
4. PQ = PS - QS 4.
Given
Seg. Addition Post.
Subtraction Prop. (=)
Symmetric Prop. (=)

4. Introduction to Proofs
Given: ,
Prove: A B C D E F
Statements
Reasons , 1. , 2. 3. , 4. , 5.
Given
Def. of Congruent Seg.
Subtraction Prop. (=)
Segment Addition Post.
Subtraction Prop. (=)

5. Introduction to Proofs
Given: ,
Prove: A B C D E F
Statements
Reasons , 5. 6. 7.
Subtraction Prop. (=)
Substitution Prop. (=)
Def. of Congruent Seg.