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Transcript
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