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1. Geometry - final exam – study guide for chapter one
1.2 Points, lines, and planes
What is: a line; a point; a plane; collinear points; coplanar points; line segment; ray; opposite rays;
intersection point or intersection line?
Exercises: 1-27 Page 13
1.3 Segments and their measures
What is: segment length; coordinate of the point?
Very important: Distance Formula, Segment Addition Postulate.
Exercises: 4-12, 23-30 Page 21.
1.4 Angles and their measures
What is: an angle; angle side; vertex; congruent angles; adjacent or nonadjacent angles; angle
measure?
Very important: Angle addition postulate and Angle classification: Acute, right, obtuse, and
straight.
Exercises: 1-22 Page 29.
1.5 Segment and angle bisector
What is: segment bisector; midpoint; angle bisector?
Very important: Midpoint formula.
Exercises: 4-9, 11-13, 17-30 pages 38-39
1.6 Angle pair relationships
Very Important: What are: vertical angles; linear pair; complementary angles (sum of 2 angels =
90); supplementary angles (sum of 2 angles = 180)
Exercises: 8-36, 41, 42, 45-52 Pages 47-49
1.7 Introduction to perimeter (P), circumference (C), and area (A).
Very Important:
1. Square – A = S², P = 4s where s- is the length of the side.
2. Rectangle – A = L x W, P = 2L+2W where L= length, W= width.
3. Triangle – A = ½ b x h, P = a + b + c, where a, b, c are side lengths, and h – is height.
4. Circle – A = п r², C = 2пr, where п = 3.14 and r = radius.
Exercises: 9-20 Page 55.
2. Geometry - final exam – study guide for chapter two
2.1 Conditional statements
What is: hypothesis, conclusion, and conditional statements, converse, inverse?
Exercises: 1-13 Page 75
2.2 Definitions and biconditional statements.
What are: perpendicular lines, line perpendicular to a plane, biconditional statement?
Exercises: 13-23 Page 82-83.
Geometry - final exam – study guide for chapter three
3.1 Lines and Angles
What are: parallel lines, skew lines, parallel planes, transversal, corresponding
angles, alternate interior and exterior, consecutive angles?
Exercises: 2-26 Page 132-133,
Also exercises 29-36 Page 141, 8-16 Page 146, 10-18 page 153
3.6 Parallel lines in the coordinate plane. What is: slope of parallel lines?
y2 – y1
(m = -----------)
x2 – x1
(Two lines are parallel when they have same slopes - m1=m2)
Exercises 17-22, 24-26 page 169
3.7 Perpendicular lines in the coordinative plane:
(Two lines are perpendicular if the product of their slopes = -1, m1 x m2 =-1)
Exercises: 7-36 Page 175-176.
Geometry - final exam – study guide for chapter four
4.1 Triangles and angles
Classification of triangles by its sides and by its angles. Right and isosceles
triangles: hypotenuse, leg, base. Examples #3, #4 page 197.
Exercises: 2-21, 31-39 pages 198-199.
4.2 Congruence and triangles.
When two figures are congruent? What are corresponding sides, corresponding
angles? Example #3 page 203.
Exercises: 4-14 pages 205-206.
Also exercises 17-25 page 240.
Geometry - final exam – study guide for chapter five
5.1 perpendiculars and bisectors
Perpendicular bisector, angle bisector
5.3 Medians and altitudes
What is a median, altitude? Exercises 3-11 page 282.
5.4 Midsegment theorem
What is a Midsegment of a triangle? Exercises 3-9, 12-16 page 290
Geometry - final exam – study guide for chapter six
6.1 Polygons
What is a quadrilateral - definition? Example 4 page 324.
Exercises 37-39, 41-46 page 327.
6.2 Properties of a parallelogram
What is a parallelogram – definition? Examples 1 – 3 page 331.
Exercises 26-37 Page 334.
6.4 Rhombus, rectangles, squares.
What are: rhombus, rectangle, and square – definitions? Example #3 page 348.
Using diagonals of special parallelograms.
Exercises 12-38 pages 351-352.
6.6 Special quadrilaterals
Exercises 2-35 pages 367-368.
6.7 areas of triangles and quadrilaterals
Examples #1- 6 pages 373 – 375.
Exercises 3-28 pages 376-377.
Geometry - final exam – study guide for chapter nine
9.1 Similar right triangles
Example #1, 2. Pages 528, 530.
9.2 The Pythagorean Theorem
Very important: Definition of the Pythagorean theorem: c² = a² + b² where
c – hypotenuse, and a, b are legs of the right triangle. Pythagorean triple.
Examples 3 – 4 pages 536-537.
Exercises 3-5, 7-30 pages 538-539.
9.4 Special right triangles
Examples 1- 5 pages 551-553.
Exercises 12-20, 24-26 pages 554-555.