HONORS GEOMETRY
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
• Undefined Terms
• Basic Definitions & Notation
• Postulates Relating Points, Lines & Planes
• Coordinate Geometry Formulas & Applications
• Angle Relationships
CH. 2 LOGICAL REASONING & INTRO TO PROOF
• 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
▪ 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
▪ 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
▪ 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
▪ 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
▪ 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
▪ 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
▪ Translations
▪ Reflections
▪ Rotations
▪ Dilations
▪ Composition of Transformations (ex: Glide Reflections)
CH. 9 CIRCLES
▪ 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
▪ 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
▪ 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
o Sum of Interior Angles
o Sum of Exterior Angles
Law of Sines
Law of Cosines
Area Formulas Prisms & Cylinders
Parallelogram L.A. =
S.A. =
Triangle V =
Rhombus Pyramids & Cones
L.A. =
Trapezoid S.A. =
V =
Equilateral Triangle
Spheres
Regular Polygon S.A. =
V =
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