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
  • Properties from Algebra
  • Addition, Subtraction, Multiplication, Division
  • Reflexive, Symmetric, Transitive
  • Substitution
  • 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
  • Triangle Inequality Theorem
  • Exterior Angle Inequality Theorem
  • Inequalities for Two Triangles
  • 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
  • Squares & Rectangles
  • Parallelograms
  • Triangles
  • Rhombi
  • Trapezoids
  • 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
  • Prisms & Cylinders
  • 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

  • Sum of Interior Angles
  • 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 =