Download Undefined Terms: Points, Lines, and Planes Collinear vs

Lines and Angles
Undefined Terms: Points, Lines, and Planes
Collinear vs. Noncollinear
Determining a Line/Determining a Plane
Review: Draw it Out
What is a line segment?
What are congruent segments?
Ruler Postulate
Segment Addition Postulate
What is a ray?
What is the midpoint of a line segment?
Midpoint on a Number Line
Midpoint on a Coordinate Plane
Constructing a Segment Bisector
What is an angle?
How do you measure an angle?
What are congruent angles?
What is the protractor postulate?
What is the angle addition postulate?
Classifying Angles
Constructing Congruent Angles
Angle Bisector
Constructing an Angle Bisector
Special Angles
Perpendicular Lines and Right Angles
Perpendicular Bisector
Distance between Two Points and Distance between a Point and a Line Segment
Distance Formula
Things to Remember About Angles
Inductive and Deductive Reasoning
What is the difference between inductive and deductive reasoning?
Inductive Reasoning Statements
Deductive Reasoning Statements
Inductive Reasoning: Conjectures and Counterexamples
Writing an If-Then Statement
Conditional Statements
Conditional Statements: Identifying the hypothesis and conclusion.
Conditional Statements (Converse, Inverse, Contrapositive)
Deductive Reasoning (Law of Detachment and Law of Syllogism)
Perpendicular and Parallel Lines
What are parallel lines?
Define and Draw: Skew lines and Transversals
What are perpendicular lines?
Parallel Lines Intersected by a Transversal
Angles and Parallel Lines
Postulates and Theorems for Parallel Lines
Parallel Lines and Distance
Review: Distance Between Two Points
Triangles
Classifying Triangles Using Angles
Classifying Triangles Using Sides
Angles in Triangles
Exterior and Remote Interior Angles
Corollaries Regarding Angle Measure in Triangles
What are Congruent Triangles?
Proving Triangles Congruent
Isosceles Triangle Theorems
Equilateral Triangle Corollaries
Reviewing Key Terms: Perpendicular Bisector and Angle Bisector
Defining Altitude and Median
Review: Midpoint on a Coordinate Plane
Things to Remember About Perpendicular Bisectors and Angle Bisectors
Draw and Label a Right Triangle
Proving Right Triangles are Congruent
Inequalities for Sides and Angles of a Triangle
Triangle Inequality Theorem
Inequalities Involving Two Triangles
Steps for Constructions:
Constructing Congruent Triangles
Quadrilaterals
What is a Quadrilateral?
Things to Remember About Parallelograms
Is a Quadrilateral a Parallelogram?
Rectangles
Is a Quadrilateral a Rectangle?
Things to Remember About Rhombi
Constructing a Rhombus
What is the Difference Between a Rhombus and a Square?
Draw and Label a Trapezoid
Things to Remember About Trapezoids
Constructing the Median of a Trapezoid
Relationships Between Quadrilaterals
Similar Polygons
What are similar figures?
What is scale factor?
What is a proportion?
Similar Triangles
Parallel Lines in Triangles
Three Parallel Lines and Two Transversals
Construction: Trisecting a Segment
Triangle Vocabulary Review
Parts of Similar Triangles
Plus 5 Interactive Math Notebook Foldable Activities
Right Triangles
Theorems: Right Triangles and Altitudes
The Pythagorean Theorem
Finding Missing Measures for Similar Right Triangles
What is a geometric mean?
What is a Pythagorean Triple?
Special Right Triangles
Using Special Right Triangle Relationships to Find Missing Measures (30°-60°-90°)
Using Special Right Triangle Relationships to Find Missing Measures (45°-45°-90°)
Trigonometric Ratios
Using a Calculator to Find the Value of a Ratio
Using a Calculator to Find the Value of an Angle
Angles of Elevation and Depression
Law of Sines
Law of Cosines
Circles
Label the Circle
What is a Central Angle?
Arc Measures
Arc Addition Postulate
Arc Length vs. Arc Measure
More Circle Terms
Draw and Define: Inscribed Angle and Intercepted Arc
Inscribed Angles
Tangents
Things to Remember About Tangents
Common Tangents
Inscribed and Circumscribed Polygons
Construction: Tangent from a Point Outside the Circle
Construction: Circle Inscribed in a Polygon
Secants, Tangents, and Angle Measures
Special Segments in a Circle
Secants
Standard Equation of a Circle
Area of a Sector of a Circle
Plus 12 Interactive Math Notebook Foldable Activities
Polygons and Area
Definition of Polygon
Convex vs. Concave
Naming Polygons
What is a regular polygon?
Polygons and Angles
Sum of Interior Angle Measures in Convex Polygons
Interior Angle Measures of Regular Polygons
Finding Interior Angle Measures for Convex Polygons that are NOT Regular
Using the Exterior Angle Sum Theorem to Determine Interior and Exterior Angles of a
Regular Polygon
Tessellations
Determine if a Regular Shape will Tessellate
Uniform vs Semi-Regular Tessellation
Is the Semi-Regular Tessellation Possible?
Things to Remember About Area
Label the Parallelogram
Label the Triangle
Label the Trapezoid
Label the Rhombus
Summary of Area Formulas
Construction Regular Hexagon
Area of a Regular Polygon
Finding the Apothem of a Regular Polygon
Plus 14 Interactive Math Notebook Foldable Activities
Solids and Nets
Corner View Perspective
Sketching Solids on Isometric Dot Paper
What is a net?
Describing Polyhedra-Define and draw each term.
Solids and Nets
Solids and Nets (Cut and Paste)
Finding Solids at Home or School
Draw a corner view of a solid given various views.
Slicing a Solid
Plus 6 Interactive Math Notebook Foldable Activities
Surface Area and Volume
Three-Dimensional Figures (Match)
Characteristics of Solids
Label the Right Prism
Label the Right Cylinder
Naming Prisms and Pyramids
Label the Rectangular Pyramid
Label the Circular Cone
Surface Area vs. Volume
Surface Area Summary
Review: Summary of Area Formulas for Two-Dimensional Shapes
Volume Summary
Label the Sphere
Sphere Terms: Great Circle and Hemisphere
Congruent and Similar Solids
Plus 12 Interactive Math Notebook Foldable Activities
Transformations
What is a Transformation?
Isometry vs. Similarity
Reflections
Reflections on the Coordinate Plane (Handout)
Reflections When Given the Vertices (Handout)
Translations
Translations Given the Direction (Handout)
Translations Using Two Reflections(Handout)
Rotations
Rotate an image 90° (Handout)
Dilations
Finding the Scale Factor of a Dilation
Plus 6 Interactive Math Notebook Foldable Activities