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    COURSE INTRODUCTION
    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
    Archived Materials
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  1. RWM103: Geometry
  2. Unit 7: Right Triangle Trigonometry
  3. 7.4: Sine, Cosine, and Tangent
  4. Practice Trigonometric Ratios in Right Triangles

Practice Trigonometric Ratios in Right Triangles

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Saylor Academy © 2010-2025 except as otherwise noted. Excluding course final exams, content authored by Saylor Academy is available under a Creative Commons Attribution 3.0 Unported license. Third-party materials are the copyright of their respective owners and shared under various licenses. See detailed licensing information. Saylor Academy®, Saylor.org®, and Harnessing Technology to Make Education Free® are trade names of the Constitution Foundation, a 501(c)(3) organization through which our educational activities are conducted.