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Transcript
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