Unit: Transformations Chapter: Introduction to Transformations Reference: – Definition & Types of Transformations, Rigid Transformations (Isometries), Non-Rigid Transformations, Translation in the Coordinate Plane, Reflection in the Coordinate Plane, Rotation in the Coordinate Plane, Dilation and Scale Factor, Composition of Transformations, Symmetry and Transformations After studying this chapter, you should be able to understand: Definition & […]
Unit: Circles Chapter: Theorems, Circles Reference: – Angle at the Centre Theorem, Inscribed Angle Theorem, Angle Between a Tangent and a Chord, Theorem of Tangents from an External Point, Cyclic Quadrilateral Theorem, Power of a Point Theorem, Chord-Chord Intersection Theorem, Secant-Secant Theorem, Secant-Tangent Theorem, Arc Length and Sector Area Theorem After studying this chapter, you […]
Unit: Circles Chapter: Basic Concepts Reference: – Definition of a Circle, Radius and Diameter, Area of a Circle, Chord of a Circle, Secant and Tangent Lines, Arc of a Circle, Central Angle, Inscribed Angle, Concentric Circles After studying this chapter, you should be able to understand: Definition of Circle & Types Area & Chord of […]
Unit: Right Triangles Chapter: General Triangle Area Formula Reference: – Concept of Triangle Area, Standard Area Formula for Right Triangles, Extension to Non-Right Triangles, Use of the Base-Height Relationship in Any Triangle, Area Calculation Using the Law of Sines, Area Formula in Terms of Side Lengths and an Included Angle (SAS Case), Heron’s Formula for […]
Unit: Right Triangles Chapter: Law of Cosines Reference: – Fundamental Concept of the Law of Cosines, Application of the Law of Cosines in Non-Right Triangles, Solving Triangles with Given Two Sides and an Included Angle (SAS Case), Solving Triangles with Three Known Sides (SSS Case), Comparison Between the Law of Cosines and the Law of […]
Unit: Right Triangles Chapter: Law of Sines Reference: – Fundamental Concept of the Law of Sines, Application of the Law of Sines in Non-Right Triangles, Ambiguous Case in the Law of Sines, Comparing the Law of Sines and the Law of Cosines, Use of the Law of Sines in Real-World Applications, Proof and Derivation of […]
Unit: Right Triangles Chapter: Application Reference: – Right Triangles in Real-World Problem Solving, Using the Pythagorean Theorem in Practical Situations, Applications of Trigonometric Ratios in Right Triangles, Angles of Elevation and Depression, Right Triangles in Navigation and Surveying, Application of Right Triangles in Architecture and Engineering, Shadow and Height Measurement Using Right Triangles, Distance Calculation […]
Unit: Right Triangles Chapter: Special Triangles and Ratios Reference: – Definition of Special Right Triangles, Derivation of Special Triangle Ratios, Applications of Special Triangle Ratios in Geometry, Using Special Triangles in Coordinate Geometry, Angle-Based Trigonometric Relationships, Comparing Special Triangles to General Right Triangles, Geometric Constructions Using Special Right Triangles After studying this chapter, you should […]
Unit: Right Triangles Chapter: Trigonometric Ratios Reference: – Definition of Trigonometric Ratios, Understanding the Right Triangle in Trigonometry, Sine Ratio in Right Triangles, Cosine Ratio in Right Triangles, Tangent Ratio in Right Triangles, Reciprocal Trigonometric Ratios, Application of Trigonometric Ratios in Problem-Solving, Complementary Angles and Trigonometric Ratios, Angle-Based Relationships in Right Triangles, Use of Trigonometric […]
Unit: Transformations Chapter: Transforming Non-Polygonal Figures Reference: – Definition of Non-Polygonal Figures, Transformations on Non-Polygonal Figures, Translation of Non-Polygonal Figures, Rotation of Non-Polygonal Figures, Reflection of Non-Polygonal Figures, Dilation of Non-Polygonal Figures, Composition of Transformations on Non-Polygonal Figures, Effect of Transformations on Curves and Circles, Applications of Transformations to Non-Polygonal Figures, Mapping and Transformation of […]