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RWM103: Geometry
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Practice with Quadrilaterals
Course Syllabus
Course Syllabus
Unit 1: The Basics of Geometry
1.1: Language and Notation
The Language and Notation of Basic Geometry
Lines, Line Segments, and Rays
1.2: The Distance between Two Points
The Distance between Two Points
1.3: Midpoints and Segment Bisectors
Midpoints and Segment Bisectors
1.4: Measuring Angles
Angles
Measuring Angles
1.5: Congruent Angles and Angle Bisectors
Congruent Angles and Angle Bisectors
1.6: Acute, Obtuse, and Right Angles
Acute, Right, and Obtuse Angles
1.7: Complementary and Supplementary Angles
Complementary and Supplementary Angles
Practice with Complementary and Supplementary Angles
1.8: Linear Pairs
Linear Pairs
1.9: Vertical Angles
Vertical Angles
Equations with Vertical Angles
Practice Solving Problems with Vertical Angles
1.10: Polygon Classification
Classifying Polygons
Unit 2: Parallel and Perpendicular Lines
2.1: Parallel, Perpendicular, and Skew Lines
Identifying Parallel and Perpendicular Lines
2.2: Angles and Transversals
Angles, Parallel Lines, and Transversals
2.3: Corresponding Angles
Corresponding Angles
2.4: Alternate Interior Angles
Alternate Interior Angles
2.5: Alternate Exterior Angles
Alternate Exterior Angles
2.6: Same Side Interior Angles
Same Side Interior Angles
2.7: Distance Formula in the Coordinate Plane
Using the Distance Formula
Practice Using the Distance Formula
Unit 3: Triangles, Congruence, and Other Relationships
3.1: Triangle Classification
Triangle Classification
3.2: Triangle Sum Theorem
Using the Triangle Sum Theorem
Practice Using the Exterior Angle Theorem
3.3: Exterior Angle Theorem
Using the Exterior Angle Theorem
Practice Using the Exterior Angle Theorem
3.4: Congruent Figures
Congruent Figures
3.5: Congruent Triangles and SSS
Congruent Triangles and the SSS Postulate
3.6: Other Triangle Congruence Postulates
The SAS, ASA, and AAS Postulates
3.7: Calculating Congruent Triangles
Congruent Triangles
Practice with Congruent Triangles
Practice with Angles in Congruent Triangles
3.8: Isosceles Triangles
Isosceles Triangles
3.9: Equilateral Triangles
Equilateral Triangles
Unit 4: Triangle Relationships
4.1: Midsegment Theorem
Midsegment Theorem
4.2: Perpendicular Bisectors
Perpendicular Bisectors
4.3: Angle Bisectors
Angle Bisectors
4.4: Medians
Triangle Medians and Centroids
Using Medians and Centroids to Solve Unknown Quantities
4.5: Altitudes
Altitudes
4.6: Triangle Inequality Theorem
Triangle Inequality Theorem
Practice Using the Triangle Inequality Theorem
Unit 5: Polygons and Quadrilaterals
5.1: Sum of Interior Angles of a Polygon
Quadrilaterals, Polygons, and Transformations
Sum of Interior Angles of a Polygon
5.2: Sum of Exterior Angles of a Convex Polygon
Sum of Exterior Angles of a Convex Polygon
Practice Adding Angles of a Polygon
5.3: Parallelograms
Parallelograms
Classifying Parallelograms
5.4: Trapezoids
Trapezoids
5.5: Kites
Kites
5.6: Coordinate Geometry
Quadrilaterals
Practice with Quadrilaterals
Unit 6: Similarity
6.1: Similar Polygons
Similar Triangles
Similar Polygons and Scale Factors
6.2: Similarity Postulates
Similarity Postulates
6.3: Angle-Angle Similarity and Indirect Measurement
Angle-Angle Similarity Postulate
6.4: Side-Side-Side and Side-Angle-Side Similarity
Side-Side-Side Triangle Similarity
Side-Angle-Side Triangle Similarity
6.5: Triangle Proportionality, Parallel Lines and Transversals
Solving Similar Triangles
Practice Solving Similar Triangles Part I
Practice Solving Similar Triangles Part II
Unit 7: Right Triangle Trigonometry
7.1: The Pythagorean Theorem
The Pythagorean Theorem
Using the Pythagorean Theorem
Practice Using the Pythagorean Theorem
7.2: 45-45-90 Triangles
45-45-90 Right Triangles
7.3: 30-60-90 Right Triangles
30-60-90 Right Triangles
7.4: Sine, Cosine, and Tangent
Trigonometry
Practice Trigonometric Ratios in Right Triangles
7.5: Trigonometric Ratios with a Calculator
Using a Calculator for Trigonometric Ratios
Unit 8: Circles
8.1: Language and Notation of a Circle
Circle Language and Notation
8.2: Tangent Lines
Tangent Lines
8.3: Arcs of Circles
Arcs
Practice Measuring Arcs
8.4: Inscribed Angles
Value of Inscribed Angles and Polygons
Practice Inscribed Angles and Polygons
8.5: Angles of Chords, Secants, and Tangents
Chords in Circles
Angles of Chords, Secants, and Tangents
Unit 9: Perimeter and Area
9.1: Perimeter and Area Basics
Perimeter and Area Basics
9.2: Area of Triangles
Area and Perimeter of a Triangle
9.3: Area and Perimeter of Rectangles and Squares
Area and Perimeter of a Rectangle
9.4: Area of a Parallelogram
Area of a Parallelogram
9.5: Area and Perimeter of Trapezoids
Area and Perimeter of Trapezoids
9.6: Area and Perimeter of Rhombuses and Kites
Area and Perimeter of Rhombuses and Kites
9.7: Area and Perimeter of Similar Polygons
Area and Perimeter of Similar Polygons
9.8: Circumference
Circumference Review
9.9: Arc Length
Arc Length
9.10: Area of a Circle
Area of a Circle
Practice Calculating the Area of a Circle
9.11: Area of Composite Shapes
Perimeter and Area of a Non-Standard Polygon
Unit 10: Surface Area and Volume
10.1: Polyhedrons
Polyhedrons
Representing Solids
10.2: Prisms
Prisms
10.3 Cylinders
Cylinders
10.4: Pyramids
Pyramids
10.5: Cones
Cones
10.6: Spheres
Spheres
10.7: Composite Solids
Composite Solids
Course Feedback Survey
Course Feedback Survey
Certificate Final Exam
RWM103: Certificate Final Exam
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RWM103: Geometry
Practice with Quadrilaterals
Practice with Quadrilaterals
Completion requirements
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Course Syllabus
The Language and Notation of Basic Geometry
Lines, Line Segments, and Rays
The Distance between Two Points
Midpoints and Segment Bisectors
Angles
Measuring Angles
Congruent Angles and Angle Bisectors
Acute, Right, and Obtuse Angles
Complementary and Supplementary Angles
Practice with Complementary and Supplementary Angles
Linear Pairs
Vertical Angles
Equations with Vertical Angles
Practice Solving Problems with Vertical Angles
Classifying Polygons
Identifying Parallel and Perpendicular Lines
Angles, Parallel Lines, and Transversals
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Using the Distance Formula
Practice Using the Distance Formula
Triangle Classification
Using the Triangle Sum Theorem
Practice Using the Exterior Angle Theorem
Using the Exterior Angle Theorem
Practice Using the Exterior Angle Theorem
Congruent Figures
Congruent Triangles and the SSS Postulate
The SAS, ASA, and AAS Postulates
Congruent Triangles
Practice with Congruent Triangles
Practice with Angles in Congruent Triangles
Isosceles Triangles
Equilateral Triangles
Midsegment Theorem
Perpendicular Bisectors
Angle Bisectors
Triangle Medians and Centroids
Using Medians and Centroids to Solve Unknown Quantities
Altitudes
Triangle Inequality Theorem
Practice Using the Triangle Inequality Theorem
Quadrilaterals, Polygons, and Transformations
Sum of Interior Angles of a Polygon
Sum of Exterior Angles of a Convex Polygon
Practice Adding Angles of a Polygon
Parallelograms
Classifying Parallelograms
Trapezoids
Kites
Quadrilaterals
Similar Triangles
Similar Polygons and Scale Factors
Similarity Postulates
Angle-Angle Similarity Postulate
Side-Side-Side Triangle Similarity
Side-Angle-Side Triangle Similarity
Solving Similar Triangles
Practice Solving Similar Triangles Part I
Practice Solving Similar Triangles Part II
The Pythagorean Theorem
Using the Pythagorean Theorem
Practice Using the Pythagorean Theorem
45-45-90 Right Triangles
30-60-90 Right Triangles
Trigonometry
Practice Trigonometric Ratios in Right Triangles
Using a Calculator for Trigonometric Ratios
Circle Language and Notation
Tangent Lines
Arcs
Practice Measuring Arcs
Value of Inscribed Angles and Polygons
Practice Inscribed Angles and Polygons
Chords in Circles
Angles of Chords, Secants, and Tangents
Perimeter and Area Basics
Area and Perimeter of a Triangle
Area and Perimeter of a Rectangle
Area of a Parallelogram
Area and Perimeter of Trapezoids
Area and Perimeter of Rhombuses and Kites
Area and Perimeter of Similar Polygons
Circumference Review
Arc Length
Area of a Circle
Practice Calculating the Area of a Circle
Perimeter and Area of a Non-Standard Polygon
Polyhedrons
Representing Solids
Prisms
Cylinders
Pyramids
Cones
Spheres
Composite Solids
Course Feedback Survey
RWM103: Certificate Final Exam
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