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HONORS GEOMETRY
FINAL EXAM REVIEW 2016
EXAM DATE:
BRING: Textbook
Pencils
Scientific Calculator
TEST FORMAT:
Part I: 10 Open-Ended
Part II: 30 Multiple Choice
TOPICS COVERED:
CH. 1 POINTS, LINES, PLANES & ANGLES
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CH. 2
Undefined Terms
Basic Definitions & Notation
Postulates Relating Points, Lines & Planes
Coordinate Geometry Formulas & Applications
Angle Relationships
LOGICAL REASONING & INTRO TO PROOF
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Inductive vs. Deductive Reasoning
Conjectures & Counterexamples
Conditional Statements
Converses, Inverses & Contrapositives
Proofs Involving Segments & Angles
o Properties from Algebra
 Addition, Subtraction, Multiplication, Division
 Reflexive, Symmetric, Transitive
 Substitution
o Postulates
 Segment Addition
 Angle Addition
Theorems About Special Pairs of Angles (Vertical, Complementary, Supplementary)
Theorems About Perpendicular Lines
CH. 3 PARALLEL LINES & PLANES
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Angles Formed by Parallel Lines & Transversals
Properties of Parallel Lines
Ways to Prove Lines Parallel
Triangle-Angle Sum Theorem
Exterior Angle Theorem
Sum of the Interior & Exterior Angles of a Convex Polygon
Angles of Regular Polygons
CH. 4 CONGRUENT TRIANGLES
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Classifying Triangles
Ways to Prove Triangles Congruent
Using CPCTC to Prove Sides & Angles Congruent
Properties of Isosceles & Equilateral Triangles
Medians, Altitudes, and Perpendicular Bisectors
CH. 5 QUADRILATERALS
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Properties of Parallelograms
Ways to Prove that a Quadrilateral is a Parallelogram
Theorems Involving Parallel Lines
Properties of Rectangles, Rhombi, and Squares
Properties of Trapezoids
CH. 6 INEQUALITIES IN GEOMETRY
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Properties of Inequalities
Indirect Proof
Inequalities for One Triangle
o Triangle Inequality Theorem
o Exterior Angle Inequality Theorem
Inequalities for Two Triangles
o SAS (Hinge Thm) and SSS Inequality Theorems
CH. 7 SIMILAR POLYGONS
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Properties of Ratios & Proportions
Identifying Similar Polygons; Solving for Unknown Measures
Ways to Prove Triangles Similar
Proportional Lengths in Triangles
Ratio of Perimeters & Areas of Similar Polygons
CH. 8 RIGHT TRIANGLES & TRIGONOMETRY
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Geometric Means
Pythagorean Theorem & Its Converse
Pythagorean Triples
Determining whether a Triangle is Acute, Right or Obtuse
Special Right Triangles
Using Trig Ratios to Solve Right Triangles (SOH-CAH-TOA)
Angles of Elevation & Depression
Law of Sines
Law of Cosines
CH. 14 TRANSFORMATIONS
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Translations
Reflections
Rotations
Dilations
Composition of Transformations (ex: Glide Reflections)
CH. 9 CIRCLES
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Basic Terms
Equation of a Circle
Properties of Tangents
Minor Arcs, Major Arcs, & Semicircles
Relationships between Arcs & Chords of a Circle
Inscribed Angles
Other Types of Angles Formed by Chords, Secants, & Tangents
Lengths of Segments in a Circle
CH. 11 AREAS OF PLANE FIGURES
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Areas Postulates
Areas of Polygons
o Squares & Rectangles
o Parallelograms
o Triangles
o Rhombi
o Trapezoids
o Regular Polygons
Circumference & Area of a Circle
Arc Lengths and Areas of Sectors
Geometric Probability
Ratios of Areas
CH. 12 AREAS & VOLUMES OF SOLIDS
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Using 2-D Nets to Model 3-D Solids
Lateral Area, Surface Area & Volume
o Prisms & Cylinders
o Pyramids & Cones
Surface Area & Volume of a Sphere
HONORS GEOMETRY
FORMULA SHEET
Coordinate Geometry
Distance
Equation of a Line
Midpoint
Equation of a Circle
Slope
Convex Polygons
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Sum of Interior Angles
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Sum of Exterior Angles
Law of Sines
Law of Cosines
Area Formulas
Prisms & Cylinders
Parallelogram
L.A. =
S.A. =
Triangle
Rhombus
V =
Pyramids & Cones
L.A. =
Trapezoid
S.A. =
V =
Equilateral Triangle
Spheres
Regular Polygon
S.A. =
V =