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Elizabeth Pawelka Chapter 4 Review 3/1/12 p.1 Geometry Lesson Plans 3/1/12 Chapter 4 Test Review Warm-up and Review (15 minutes) Warm-up (10 minutes) Practice Book. They do warm-up when they are done with quiz: Practice 4-5, p. 48: 1, 2, 4-12, 16-22 Go over Warm-up (5 minutes) Review Homework from last night: (15 minutes) ask for any specific questions pp. 213 – 215: #3 – 26, 28, 33 – 37, 40 Be prepared to go over #37. 37. For points (0,4) and (4,0), find 6 points that could be the third vertex of an isosceles right triangle. Teacher Input (20 minutes) Review: Go over: Congruent Polygons o Identify corresponding congruent parts (by diagram and congruence statement) o Write congruence statements o Find missing measures Congruent Triangles – always must show 3 things Elizabeth Pawelka Chapter 4 Review 3/1/12 p.2 o SAS, SSS, ASA, AAS, HL o CPCTC o Note that these will NEVER work: AAA, SSA Isosceles Triangles o Parts (legs, base, vertex angle, base angles) o Isosceles Triangle Theorem o Converse Isosceles Triangle Theorem o Equilateral/Equiangular Corollary o Bisect Vertex Angle -> Perpendicular Bisector Go over some problems I noticed in their quizzes: o naming angles o order matters in congruency statements o make sure final statement matches what you are being asked to prove o perpendicular bisector tells you TWO things. Perpendicular gives you right angles; bisector gives you congruent segments (or angles) o if given “AB bisects DC” you can’t assume that DC also bisects AB. o note difference between a midpoint (point) and bisector (segment) Examples: don’t plan to go over them completely – show them to be sure they know HOW to do it: Example 1: set up equation to find x: 5x-8 = 2x+7 (we did this in a previous class) Example 2: (cont’d from example 1) – note the instructions are to find measurement of AB and ED this would be the same equation ΔABC ≅ ΔEDF 5x-8 = 2x+7 AB = 2x+7 and ED = 5x-8 Find AB and ED Use order of congruency statement instead of picture Elizabeth Pawelka Chapter 4 Review 3/1/12 p.3 Example 3: find x and y angle c = 50 180 = 50+50+2y => y=40 40+50+x = 180 => x=90 Use this picture to review (and mark) congruent angles you can find with parallel lines and transversals: Corresponding, AIA, Alternate Exterior, Vertical Guided Practice and Homework (40 minutes) Test Review Work (to be finished for homework and turned in on test day) pp. 233-235, 1-36: write proofs for 34 and 35 p. 236, 1-14: write proofs for 13, 14 Remind them to practice 2-column and Flow Proofs!