1. 2.5 Proving Statements about Segments
CAS 2, 4, 16
2.5 Proving Statements about Segments
Goal 1: Justify statements about congruent segments.
Goal 2: Write reasons for steps in a proof.

2. Definition of Theorem
A true statement that follows as a result of other true statement(s).
All theorems must be proven.

3. Types of Proofs Two-Column Proofs Paragraph Proofs Graphic Proofs
Uses two columns. First column, are numbered statements put in a logical order and on the same line in the second column are reasons for each statement.
Paragraph Proofs
A proof written in paragraph form.
Graphic Proofs
A proof using very thorough informational sketches filled with details
Flow Proofs
A chart-like proof. Statements and reasons are placed in a logical order on a chart.

4. Theorem 2.1 Properties of Segment Congruence
When dealing with segments, the
reflexive property,
symmetric property, and
transitive property are all applicable.

5. Ex. 1 Proof Given: X is the midpoint of MN and MX=RX. Prove: XN=RX S M

6. Construction: How To Copy a Segment
Pg 104
(Do on overhead)