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Ch. 3 3.2 Lines & Angles HMWK: p. 139, #s 11 – 24, you have all weekend for this assignment … take your time on the proofs and you will be fine. Game Plan: Today I will be able to prove results about perpendicular lines, using different proof methods. Warm-Up: Ch. 3 3.2 Lines & Angles Today … 1. 2. 3. 4. 5. Constructions worksheet Flow proof activity GSP activity Notes Wrap up. Ch. 3 3.2 Lines & Angles Flow Proofs Third type of proof Uses visual method Complete activity in book with same partners P. 135 Under exploring the concept Cut and paste statements instead of rewriting 15 minutes to complete Ch. 3 3.2 Lines & Angles Types of Proofs 1. List the three types of proofs we have studied 2. Explain how to write each proof. Be sure to include similarities and differences. Answers: 1. Two-column, paragraph, flow proof 2. How to write … • Statements/Reasons in chronological, sequential order • Complete sentences explaining proof • Uses arrows & boxes to show the “flow” of the proof Ch. 3 3.2 Lines & Angles Sketch Pad Activity • • • • Groups of four. Use Geometer’s Sketchpad to complete experiment Be sure all answers are typed on the “sketch” Be sure to have all group members name on your work • You will have 20 minutes to complete this activity • I strongly suggest you use your time wisely …we have been having a problem in this area. Ch. 3 3.2 Lines & Angles Theorems Thm 3.1: If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. diagram… Ch. 3 3.2 Lines & Angles Theorems Thm. 3.2: If two sides of two adjacent acute are perpendicular, then the angles are complementary. diagram … Ch. 3 3.2 Lines & Angles Theorems Thm 3.3: If two lines are perpendicular, then they intersect to form four right angles. diagram … Ch. 3 3.2 Lines & Angles Wrap-Up With partner …represent this statement in a flow proof: If ABC is a right triangle with hypotenuse AB then AC 2 BC 2 AB 2 * hint: draw the triangle and think of the Pythagorean theorem Ch. 3 3.2 Lines & Angles