Unit: Theorems & Postulates Chapter: Euclid's Definitions, Postulates and Axioms Reference: – Fundamental Definitions, Euclid's Five Postulates, Common Notions (Axioms), Applications of Euclidean Geometry, Logical Deduction in Mathematics, Properties of Geometric Figures, Proof Structures, Role of Euclid in Mathematics, Influence on Modern Geometry, Non-Euclidean Geometry, Parallel Postulate and Its Implications, Modern Developments in Axiomatic Systems, […]
Unit: Cartesian Coordinate System Chapter: Cartesian Plane and Plotting of a Point Reference: – Cartesian Plane and Coordinates, Distance and Section Formula, Collinearity of Points, Area of Geometric Figures, Straight Line Concepts, Reflection and Symmetry, Locus of a Point, Transformation of Coordinates After studying this chapter, you should be able to understand: Cartesian Plane and […]
Unit: Three-Dimensional Solids Chapter: Cross-Sections Reference: – Definition of Cross-Sections, Cross-Sections of Prisms, Cross-Sections of Pyramids, Cross-Sections of Cylinders, Cross-Sections of Cones, Cross-Sections of Spheres, Cross-Sections in Real-World Applications, Effect of Plane Orientation on Cross-Sections, Conic Sections from Three-Dimensional Figures, Cross-Sections in Volume and Surface Area Calculations After studying this chapter, you should be able […]
Unit: Constructions Chapter: Constructing Inscribed Polygons 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, […]
Unit: Construction Chapter: Constructing Tangents to Circles Reference: – Definition of Tangent to a Circle, Point of Tangency, Constructing a Tangent from an External Point, Constructing Two Tangents from an External Point, Constructing a Tangent at a Given Point on the Circle, Tangent Properties in Right Triangles, Using Compass and Straightedge for Tangent Construction, Tangent […]
Unit: Construction Chapter: Constructing Lines, Segments, and Angles Reference: – Basic Geometric Construction, Constructing a Line Segment, Copying a Line Segment, Bisecting a Line Segment, Constructing a Perpendicular Line, Constructing a Parallel Line, Constructing an Angle, Copying an Angle, Bisecting an Angle Constructing Special Angles After studying this chapter, you should be able to understand: […]
Unit: Construction Chapter: Constructing Transformations Reference: – Introduction to Geometric Transformations, Tools for Geometric Constructions, Constructing Translations, Constructing Reflections, Constructing Rotations & Dilations, Composition of Transformations, Symmetry in Transformations, Congruence and Similarity through Transformations, Real-World Applications of Transformations After studying this chapter, you should be able to understand: Introduction to Geometric Transformations Constructing Translations, Constructing […]
Unit: Lines and Angles Chapter: Introduction to Lines and Angles Reference: – Definition of Lines and Angles, Types of Lines, Types of Angles, Angle Relationships, Linear Pair of Angles, Intersecting Lines and Angles, Parallel Lines and Angles, Angle Sum Property of a Triangle, Real-Life Applications of Lines and Angles, Basic Theorems Related to Lines and […]
Unit: Three-Dimensional Solids Chapter: Surface Area, Volume of Solids – Sphere Reference: – Definition of a Sphere, Properties of a Sphere, Radius and Diameter of a Sphere, Surface Area of a Sphere, Volume of a Sphere, Hemispheres, Great Circles and Small Circles, Relationship Between Sphere and Other Solids, Applications of Spherical Geometry After studying this […]
Unit: Three-Dimensional Solids Chapter: Surface Area, Volume of Solids – Cone Reference: – Definition & Elements of a Cone, Comparison with Other Solids, Surface Area of a Cone, Volume of a Cone, Relationship Between Cone and Cylinder, Cross-Sections of a Cone, Scaling and Proportionality in Cones, Real-World Applications of Cones After studying this chapter, you […]