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: Circles Chapter: Arc Length and Sector Area Reference: – Definition of Arc Length, Definition of a Sector, Formula for Sector Area, Relation Between Arc Length and Sector Area, Central Angle in Radians, Full Circle and Proportionality, Relationship Between Arc Length Radius and Central Angle, Applications of Arc Length and Sector Area After studying this […]
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 […]
Unit: Congruency Chapter: Angle Sum Property Reference: – Triangle Angle Sum Theorem, Exterior Angle Theorem, Interior Angles of a Polygon, Exterior Angles of a Polygon, Base Angles Theorem (Isosceles Triangle Theorem), Equilateral Triangle Angle Property, Angle Properties of Right Triangles, Angles in Special Quadrilaterals After studying this chapter, you should be able to understand: Triangle […]
Unit: Congruency Chapter: Congruence in Lines and Angles Reference: – Basic Angle Relationships, Parallel Lines and Transversals, Perpendicular Lines and Angle Congruence, Triangle Angle Properties, Angle Congruence Theorems & Proofs, Applications & Problem-Solving After studying this chapter, you should be able to understand: Geometry: – Lines & Angles Basic Angle Relationships & Parallel Lines and […]
Unit: Congruency Chapter: Rigid motions & congruency Reference: – Rigid Motions (Isometries), Congruence Through Rigid Motions, Congruent Triangles & Triangle Congruence Criteria, Congruence in Other Polygons, Coordinate Geometry & Rigid Motions, Applications & Problem-Solving After studying this chapter, you should be able to understand: Rigid Motions (Isometries) Congruence Through Rigid Motions & Congruent Triangles Congruence […]