1. 3.3 Paragraph and Flow Proofs Warm-up (IN) Learning Objective: to write and understand mathematical proofs and to use mathematical reasoning to prove that a statement is always true. Give the reason for the following statements. Segment addition postulate Def of bisector Def. of Property of Quads 1. If point X is between points P and Q, then PX+XQ=PQ. 2. The sum of the measure of the exterior angles of any quadrilateral is 360º. 3. If AB=KL, then 4.

2. Notes Theorem - A conjecture that can be proved to be true Paragraph Proof - Writing your statements and reasons in a paragraph Exploration p. 125 Exterior Angle Theorem - 3 1 2 4 The measure of an exterior angle of a triangle is equal to the sum of the 2 remote interior angles

3. Ex 1 – Write a paragraph proof of the exterior angles thm. 3 1 2 4 Given: Prove: CKC p. 126

4. Flow Proof - A method that shows the relationships between the statements in a proof Ex 2 – Write a flow proof to show that 6 5 4 Given: Prove:

5. HW – p. 127-129 #1-6,10-19,22-26 Out – Which type of proof do you like best? Why? Summary – I was surprised… Or I realized… POW!!