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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