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Midterm Exam Topics and Problems Geometry 422 2009-2010 Mrs. Pugliese Chapter 1 1-3 Points, lines and planes 1-4 Segments, rays, parallel lines and planes In these two sections, be able to name and identify each figure. Know the postulates and theorems. 1-5 Measuring segments Segment addition postulate Mid-point 1-6 Measuring angles Classify angles Angle addition Postulate Know and identify: vertical, adjacent, complementary and supplementary angles 1-8 Coordinate Plane Know how to graph coordinate pairs Know how to use the distance formula and the midpoint formula 1-9 Perimeter, Area Know how to calculate the perimeter and area of basic geometric shapes- square, rectangle, triangle. Chapter 2 2-1 Conditional statements 2-4 Reasoning in algebra : know all the properties of equality and congruence 2-3 Proving Angles congruent Vertical angles Theorem, complementary and supplementary theorem Chapter 3 3-1 properties of parallel lines Identifying angles formed by two lines and a transversal (and related theorems) 3-2 proving parallel lines congruent Using a transversal to prove parallel lines (and related theorems) 3-3 parallel and perpendicular lines 3-4 parallel lines and the triangle angle sum theorem Classifying triangles and finding the measure of their angles Using the exterior angle theorem 3-5 the polygon angle-sum theorem Classifying polygons Finding the sum of the measures of exterior and interior angles of polygons 3-6 lines in a coordinate plane Graphing lines given the equations Writing equations of lines 3-7 slopes of parallel and perpendicular lines Relating the slopes of parallel and perpendicular lines Graphing parallel and perpendicular lines Chapter 4 4-1 congruent figures 4-2 Triangle congruence SSS and SAS 4-3 Triangle congruence ASA and AAS 4-4 Using congruent triangles CPCTC 4-5 Isosceles and equilateral triangles 4-6 congruence in right triangles 4-7 Using corresponding parts of congruent triangles Chapter 5 5-1 midsegments of triangles 5-2 bisectors of triangles Problems: p. 716 # 18-27, 30-37, 42-44 p. 718 # 1-9, 24-29 p. 720 # 1-14, 20-25, 26-27, 30,34, 36 p. 722 #1-28 p. 724 # 1-11, 14, 17-20, 22,33-36 p. 732 #1-6