Final Exam Information & Review Problems
Pre-IB Geometry 2013-2014
Important Information
The final exam will cover Chapters 1 – 10 and part of Chapter 11. This final exam review assignment will be
due the day of your final exam.
The surface area & volume formulas from page 593 of your book will be available to you during the final. You
will NOT get your own note card.
The list of theorems below will be available to you during the final for use in writing proofs. You are expected
to know what these theorems say and when to use them as justifications in proofs. Appendix A of your book
lists the theorems and the section in which they are explained.
List of Theorems
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Linear Pair Theorem
Vertical Angles Theorem
Parallel Lines and Slopes Theorem
Perpendicular Lines and Slopes Theorem
Corresponding Angles Postulate (CAP)
Figure Reflection Theorem
CPCF Theorem (CPCFT)
ABCD Theorem
Alternate Interior Angles Theorem (AIA)
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Isosceles Triangle Base Angles Theorem
(ITBAT)
Trapezoid Angle Theorem
SSS, SAS, ASA, AAS, HL Triangle
Congruence Theorems
Properties of a Parallelogram Theorem
Fundamental Theorem of Similarity
SSS, AA, SAS Similarity Theorems
Review Problems
These problems are from the Chapter Review of each chapter (NOT the Progress Self-Test). Check answers in
the back as you go. Review problems will be collected for a 25-point grade on the day of the final.
Chapter 1: Sections 1.2, 1.3, 1.6, 1.7, 1.8, Problems 15, 16, 35, 37, 39
 Undefined terms (point, line, plane)
 Difference between a definition, a postulate, and a theorem and how they fit together to form geometry
 Difference between AB , AB , AB , and AB
 The triangle inequality
 Calculating distance
Chapter 2: Sections 2.1 – 2.7, Problems 13, 19, 21, 35, 39
 Conditional (If-Then) Statements
 Converses of Conditional Statements
 Unions and intersections of figures (including  and  notation)
 Names of common polygons
 Convexity
Chapter 3: 3.1, 3.3 – 3.8, Problems 1, 9, 11, 35, 53, 59, 61
 Definition of, types of, and how to name angles
 Definitions of complementary, supplementary, and vertical angles and linear pairs
 Linear Pair and Vertical Angle Theorems
 Transitive and Reflexive Properties
 Parallel lines and angles (corresponding, vertical, alternate interior, alternate exterior)
 Theorems and postulates related to parallel lines, transversals, and perpendicular lines
Chapter 4: Sections 4.1, 4.2, 4.4 – 4.7, Problems 11, 23, 31, 41, 42, 51, 53
 Definition of reflection and how to reflect a figure
 Composing reflections, creating rotations and translations from reflections
 Definition of isometries and how to perform an isometry on a figure (translation, reflection, rotation,
glide reflection)
 Magnitude and direction of rotations and translations
 Properties of isometries
Chapter 5: All Sections, Problems 1, 5, 7, 19, 21, 25, 27, 33, 35
 Definition of congruence
 Using transitive property and definition of reflection as justifications for proofs
 Playfair’s Parallel Postulate
 Triangle Angle Sum Theorem, Polygon Angle Sum Theorem
 Perpendicular Bisector Theorem
Chapter 6: Sections 6.1 – 6.7, Problems 17, 27, 45, 46, 57
 Definition of symmetry, properties of symmetric figures
 Identifying reflection and rotation symmetries, lines of reflection and angles of rotation
 Isosceles triangle properties and related theorems
 Types of quadrilaterals and their properties (including the Quadrilateral Hierarchy)
 Properties of kites and trapezoids
 Properties of regular polygons
Chapter 7: Sections 7.2 – 7.9, Problems 9, 13, 15, 17, 23, 29, 31, 33
 Triangle congruence theorems (SSS, SAS, ASA, AAS, HL)
 Triangle congruence proofs (including overlapping triangles)
 Definition of tessellation and whether a polygon can tessellate the plane
 Properties of Parallelograms
 Exterior angle formulas and inequalities
Chapter 8: All Sections, Problems 7, 14, 17, 23, 27, 29, 33, 37, 41
 Perimeter formulas (polygon, circle)
 Area formulas (square, rectangle, triangle, trapezoid, parallelogram, circle)
 The Pythagorean Theorem and its converse
 Arc length, areas of sectors
Chapter 9: Sections 9.1 – 9.8, Problems 17, 19, 21, 23
 Types and definitions of three dimensional figures (prisms, cylinders, pyramids, cones, spheres)
 Plane sections, views and nets of 3-D surfaces
 Regular polyhedra
Chapter 10: All Sections, Problems 1, 3, 5, 9, 21, 39
 Surface and Lateral area formulas (right prisms and cylinders, right cones and pyramids, spheres)
 Volume formulas (same figures as surface area)
 Volumes and surface areas of figures that are combinations of the above figures
 Finding volume from surface area and vice versa
 Cavalieri’s Principle