PPT-2.6 Prove statements about segments & angles

proof Proof Logical statement that shows a statement is true Twocolumn proof Statements amp corresponding reasons that show an argument in a logical order Review example. Addition, Subtraction, Multiplication, and Division . Properties. Addition, Subtraction, Multiplication and Division Properties. I CAN…. Use the addition, subtraction, multiplication. and division properties. G. D. 2. E. F. A. B. C. 3. 4. 1. Given :. . BG bisects <ABF. CE bisects < FCD. Prove: . THE ANSWER!!. Statements. . Reasons. 1.. Given. 2. . BG bisects <ABF. 2. Given. Chapter 5 Parallel Lines and Related Figures. 5.1 Indirect Proof. Learner Objective: Students will prove statements using "Indirect Proof".. Warm-Up. M is the midpoint of. Given:. Prove:. D. A. C. B. Anlges. Using a compass and straight edge. Types of Pictures. Sketch – freehand drawing of something, sketch a right triangle, not exact. Drawing . – using tools to accurately measure lengths and angles. Topic 5: Relationships Within Triangles. 5-6: Indirect Proof. Pearson Texas Geometry ©2016 . Holt Geometry Texas ©2007. . TEKS Focus:. (6) Use the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. Vocabulary. Congruent-the same measurement. Construct-to create. Straightedge-any object you can use to make a straight line. Compass-an instrument used to create circles or parts of circles. Arc-part of a circle that can be drawn with a compass. Division of Segments and Angles. Segment Bisector. A point (or a segment ray, or line) that divides a segment into two congruent segments . bisects. the segment.. The bisection point is called the . Ms. Andrejko. Vocabulary. Included side-. the side located between two consecutive interior angles of a polygon. Real-World. Postulates/Theorems/Corollaries. P 4.3:. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. Look for the similar Triangles. Parallel Lines and Transversal. Alternate interior angles are congruent if the lines are parallel. Corresponding angles are congruent if the lines are parallel. Could use SSI to prove lines parallel. Theorems are statements that can be proved. Theorem 2.1 Properties of Segment Congruence. Reflexive AB . ≌. AB . All shapes are . ≌. to them self. Symmetric If AB . ≌. CD, then CD . ≌. AB. Statements. 1. 2. Conditional Statement. Definition:. A . conditional . statement is a . logical statement . that can be written in if-then form.. “. If . _____________, . then . ______________.”. Lesson 2.5. In the diagram above, AB = CD.. Do you think that AC = BD?. Suppose that BC were 3cm. Would AC = BD?. If AB = CD, does the length of BC have any effect on whether . AC = BD?. A. C. B. D. Reasoning and Proof Geometry Chapter 2 This Slideshow was developed to accompany the textbook Larson Geometry By Larson , R., Boswell, L., Kanold , T. D., & Stiff, L. 2011 Holt McDougal Some examples and diagrams are taken from the textbook.