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 […]
Unit: Transformations Chapter: Reflexive Transformations of Polygons Reference: – Definition of Reflexive Transformations, Reflection Symmetry of Polygons, Types of Axes of Symmetry, Properties of Reflective Symmetry, Reflections of Regular Polygons, Composition of Reflexive Transformations, Application of Reflection in Coordinate Geometry, Effect of Reflexive Transformations on Polygon Properties, Point of Reflection and Center of Symmetry, Applications […]
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: Similarity Chapter: Area of Similar Triangles Reference: – Similarity and Area Ratio, Proportionality of Corresponding Sides, Scaling Factor and Area, Area of Right Triangles, Application of the Area Ratio Formula, Area of Triangles with Known Sides, Applications in Geometric Problems, Relationship between Side Lengths and Areas, Perimeter and Area Ratios After studying this chapter, […]
Unit: Similarity Chapter: Properties of Similar Triangles Reference: – Corresponding Angles of Similar Triangles, Proportionality of Sides in Similar Triangles, Ration of Areas of Similar Triangles, AA Similarity Criterion for Triangles, SSS Similarity Criterion for Triangles, SAS Similarity Criterion for Triangles, Basic Proportionality Theorem (Thales' Theorem), Converse of the Basic Proportionality Theorem After studying this […]
Unit: Similarity Chapter: Similarity Axioms of Triangles Reference: – AA (Angle-Angle) Similarity Postulate, SSS (Side-Side-Side) Similarity Theorem, SAS (Side-Angle-Side) Similarity Theorem, AA Criterion for Similarity of Right Triangles, Basic Proportionality Theorem (Thales' Theorem), Converse of the Basic Proportionality Theorem, Properties of Similar Triangles, Area of Similar Triangles After studying this chapter, you should be able […]
Unit: Congruency Chapter: Congruency in Parallelograms Reference: – Opposite Sides Theorem, Opposite Angles Theorem, Consecutive Angles Theorem, Diagonals of a Parallelogram, Parallelogram Area Formula, Rhombus as a Special Parallelogram, Rectangle as a Special Parallelogram, Square as a Special Parallelogram, Using Congruence to Prove Properties After studying this chapter, you should be able to understand: Opposites […]
Unit: Congruency Chapter: Line and Angle Congruency in Isosceles Triangles Reference: – Base Angles Theorem, Converse of the Base Angles Theorem, , Perpendicular Bisector of the Base, Equilateral Triangle as a Special Isosceles Triangle, Exterior Angles in Isosceles Triangles, Congruence of Isosceles Triangles After studying this chapter, you should be able to understand: Base Angles […]