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Symmetry
Symmetry in Triangles
Symmetry in Quadrilaterals
Symmetry in Polygons
Symmetry in Alphabets and Digits
Symmetry in Miscellaneous Figures
Lines and Angles
Complementary and Supplementary Angles
Complementary and Supplementary Angles
Complementary and Supplementary Angles - With Variables
Complementary and Supplementary Angles – With Variables
Complementary and Supplementary Angles -Challenging
Complementary and Supplementary Angles – Challenging
Complementary and Supplementary Angles -Involving Ratios
Complementary and Supplementary Angles – Involving Ratios
Complementary and Supplementary Angles -Involving Linear Equations
Complementary and Supplementary Angles – Requiring Formation of Linear Equations
Two Angles on a Straight Line
Angle Properties – Two angles on a straight Line
Angles on a Straight Line – Without Diagram
Three Angles on a Straight Line
Angle Properties – Three angles on a straight Line
Angles around a Point
Angles around a point – Two or three angles
Multiple Angles around a Point
Angles around a point – four angles
Multiple Angles around a point
Parallel Lines
Lines cut by a Transversal
Unknown Angles in Parallel Lines
Determining the value of angles in parallel lines
Determining the value of angles in parallel lines – Two unknowns
Unknown Angles in Parallel Lines - Forming Linear Equations
Determining the value of angles in parallel lines – Involving Equations
Determining the value of angles in parallel lines – without diagram
Determination of Parallel Lines
Determination of whether the lines are parallel
Finding Unknown Angles in Geometric Figures
Determining values in geometric figures
Double Set of Parallel Lines
Double Sets of Parallel Lines
Triangles
Classification of Triangles
Classification of triangles based on sides
Classification of triangles based on angles
Triangle Inequalities
Identification of triangle properties
Angle Sum Property
Angle Sum Property – from diagram
Angle Sum property – Without Diagram
Angle Sum Property - Involving Linear Equations
Angle Sum Property – Without Diagram - Using Linear Equations with Repeated unknowns
Exterior Angle property
Exterior Angle Property
Finding missing angles involving linear equations
Finding missing angles – Involving Linear Equations
Angles of an Isosceles Triangle
Angles of an Isosceles Triangle
Using Parallel Lines in a Triangle
Using Parallel Lines in Triangles
Quadrilaterals
Properties of Quadrilaterals
Angle Sum Property - With Diagram
Angle Sum Property in a Quadrilateral – With Diagram
Angle Sum Property - Without diagram
Angle Sum Property in a Quadrilateral – Without Diagram
Polygons
Sum of Angles of a Polygon
Sum of angles of a regular polygon
Finding number of sides of a regular polygon
Sum of Interior angles of an Irregular polygon
Sum of interior angles with diagram
Interior angles of an irregular polygon
Interior angles of an Irregular polygon involving ratio
Interior angles of an irregular polygon involving ratio
Interior angles of an Irregular polygon involving Variables
Interior angles of an irregular polygon involving variables
Number of Sides of an Irregular Polygon
Number of sides of an irregular polygon
Exterior Angle and Number of Sides
Relation between number of sides and exterior angle
Interior Angle and Number of Sides
Relation between number of sides and interior angle
Relation Between Interior And Exterior Angle
Relation between Interior and Exterior angles
Relation between Interior and Exterior angles involving ratios
Miscellaneous - Polygons
Congruency of Triangles
Congruency of Triangles - Introduction
Identify the test
Congruency - Proving Triangles Congruent
Congruency in Triangles
Congruency Of Triangles In Quadrilaterals
Congruency of Triangles in Quadrilaterals
Congruency of Triangles without diagrams given
Congruency in Miscellaneous Shapes
Similarity of Triangles
Introduction to Similarity
Finding missing dimensions
Finding Missing Dimensions in Similar Shapes
Proving triangles similar & finding missing Dimensions
Proving Triangles Similar – Basic
Finding missing dimensions
Word problems on similarity
Word Problems
Area of Similar Shapes
Area of Similar Shapes
Area of Similar Triangles
Volume of Similar Shapes
Volume of Similar Shapes
Application of Area & Volume
Word Problems on Area/Volume of Similar Shapes
Application of Area/Volume of Similar Shapes
Area and Volume of Similar Shapes Involving Ratios
Area and Volume of Similar Shapes Involving Ratios
Basic Conversions
Conversion of Lengths
Conversions for Length
Conversion of Area
Conversions for Area
Pythagoras Theorem
Pythagoras Theorem - Basics
Finding Hypotenuse Length
Finding the length of the sides
Pythagoras Theorem - Using Unknowns
Finding the value of the unknown
Pythagoras Theorem - Combined Triangles
Pythagoras Theorem in Combined Triangles
Pythagoras Theorem - Converse
Converse of Pythagoras Theorem
Pythagoras Theorem - Pythagorean Triplets
Pythagorean Triplets
Unknowns in the Pythagorean Triplets
Pythagoras Theorem - Word Problems
Word Problems Using Pythagoras Theorem
Pythagoras Theorem - Non-Right Angled Triangles
Pythagoras Theorem in Non Right-Angled Triangles
Pythagoras Theorem - Quadrilaterals
Pythagoras Theorem in Quadrilaterals
Pythagoras Theorem - Involving Directions
Pythagoras Theorem involving directions
Pythagoras Theorem - Circles
Pythagoras Theorem in Circles
Pythagoras Theorem - 3d problems
Three Dimensional Problems
Area of Triangle
Area of triangle - Basics
Area of Triangle when base and height are given
Finding base/height when the area is given
Area of triangle - Using Ratios
Finding the Area when Ratios are given
Area of an Equilateral triangle
Area of an equilateral Triangle
Area of an Isosceles triangle
Area of an Isosceles Triangle
Area of A scalene triangle
Area of Scalene Triangle
Area of Combined TriangleS
Area of a Quadrilateral (as sum of 2 triangles)
Area of Squares/Rectangles
Area:perimeter of square - basics
Area/Perimeter of Square using Side
Area:perimeter of square - Using diagonal
Area/Perimeter of Square using Diagonal
Area:perimeter of a rectangle- basics
Area/Perimeter of Rectangle
Area:perimeter of rectangles using ratios
Dimensions involving Ratios
Area of Paths Outside the Rectangle
Sums involving Paths Outside the field
Area of paths inside the rectangle
Sums involving Paths Inside the field
Area of Crossroads
Sums involving Crossroads
Area of Quadrilaterals
Area of trapezium
Area of Trapezium
Area of Parallelogram
Area of Parallelogram
Area of Rhombus
Area of a Rhombus
Area and Perimeter of Circles and Sectors
Area and Circumference of circle
Area and Circumference of circle
Area and Perimeter of half quarter circle
Area and Perimeter of half/ quarter circle
Area of ring
Area of ring
Distances Involving Circle Revolutions
Distances involving circle revolutions
Area and perimeter of sector
Area and perimeter of sector
Area and Perimeter of Sector Ring
Area and Perimeter of sector ring
Circle - Combination of shapes
Combination of shapes
Circle - Shape Transformations
Shape Transformations
Combining Areas
Combining Areas
Area Involving Smaller Circle & Larger Sheet
Areas involving smaller circles and larger sheets
Circle Geometry
Parts of a Circle
Parts of Circle
Angle in a Semi-Circle
Angle in a Semi-Circle – Finding Missing Angles
Angle in a Semi-Circle – Finding Missing Sides
Angle in a Semi-Circle – Using Geometric Figures
Angle at the Centre
Angle at the Centre
Angle in the Same Arc
Angles in the same Arc
Radius Chord Theorem
Radius Chord Theorem
Radius Tangent Theorem
Radius Tangent Theorem
Angle Between Tangent and Chord
Angle in the Alternate Segment
Tangents from an Exterior Point
Tangents from an External Point
Cyclic Quadrilaterals
Cyclic Quadrilateral
Mixed Bag
Basic Terms
Basic Conversions - Volume
Volume Conversions
Volume Conversions
Capacity Conversions
Capacity Conversions
Surface Area and Volume of Cube/Cuboid
Surface Area & Volume of a Cube and Cuboid
Surface Area and Volume of Cube/Cuboid
Area of Walls and Ceilings
Walls and Ceilings
Closed and Open Boxes without Thickness
Closed and Open Boxes without thickness
Closed and Open Boxes with Thickness
Closed and Open Boxes with thickness
Volume Conversions
Volume Conversions
Objects that Fit
Finding the number of objects that can fit
Cylinder - Volume & Surface Area
Volume of a Cylinder
Volume of a Solid Cylinder
Volume of Cylinder involving an Embankment
Volume of Cylinder involving an Embankment
Surface Area of a Cylinder
Surface Area of a Solid Cylinder
Volume & Surface area of a Cylinder involving ratios
Surface Area and Volume of Cylinders Involving Ratios
Finding Volume based on Surface Area
Finding Volume based on Surface Area
Volume and Surface Area of Hollow Cylinder with Thickness
Volume and Surface Area of a Hollow Cylinder with thickness
Volume Conversions
Volume Conversions
Percentage Changes
Finding Percentage Changes
Water running through a pipe
Water running through a pipe
Sphere/ Hemisphere - Surface Area & Volume
Sphere - Volume and Surface Area
Surface Area and Volume of Spheres
Volume and Surface Area of a Hemisphere
Finding the volume and surface area of a hemisphere
Volume of Spheres and Hemispheres with thickness
Volume of Spheres and Hemispheres with thickness
Increase in level of liquids
Increase in Level of Liquids
Conversion of Spheres to Different Shapes
Volume Conversions
Cone - Volume & Surface Area
Volume of a Cone
Volume of a Cone
Surface Area of a Cone - Basics
Surface Area of a Cone - Basics
Surface Area of a Cone - Application
Surface Area of a Cone - Application
Cones involving sectors
Cones Involving Sectors
Cones with frustum
Cones with frustum
Pyramids - Volume and Surface Area
Triangular based pyramid - volume & surface area
Triangular Based Pyramid
Square based Pyramid
Square-based Pyramid
Rectangle Based Pyramid with Perpendicular height
Rectangle Based Pyramid with Perpendicular height
Rectangle Based Pyramid with Slant height
Rectangle Based Pyramid with Slant height
Octahedron - Regular with Square base
Octahedron - Regular with Square base
Octahedron - Irregular with Square base
Octahedron - Irregular with Square base
Octahedron - Irregular with Rectangular base
Octahedron - Irregular with Rectangular base
Combination of Solids - Surface Area & Volume
Combination - Cylinder + Cone
Cylinder + Cone
Combination - Cone + Hemisphere
Cone + Hemisphere
Combination - Cylinder + Hemisphere
Cylinder + Hemisphere
Combination - Cube + Hemisphere Cylinder
Cube + Cylinder/Hemisphere
Prisms
Triangular Prism
Triangular Prism (equilateral and isosceles)
Right-Angled Triangular Prism
Right Angled Triangular Prism
Trapezoidal Prism
Trapezoidal Prism
Wedges
Wedges
Pentagonal Prisms
Pentagonal Prisms
Hexagonal Prisms
Hexagonal Prisms
Irregular Shaped solids
Irregular Shaped solids
Prisms with Holes
Prisms with Holes
Right-Angled Trigonometry Basics
Identify the Sides
Identifying the hypotenuse, adjacent, and opposite sides
Identifying the Ratio
Identifying the trigonometric ratio
Finding the Value of Ratio
Finding the values of trigonometric ratios when the sides are given
Finding Side Lengths
Finding unknown side lengths
Finding Angle Values
Finding the value of the angle
Trigonometry in Combined Triangles
Combination of two triangles
Right-Angled Trigonometry in Geometric Figures
Trigonometry in Triangles
Trigonometry in Triangles
Trigonometry in Rectangles
Trigonometry in Rectangles
Trigonometry in Rhombus
Trigonometry in Rhombus
Trigonometry in Kites
Trigonometry in Kites
Trigonometry in Trapezia
Trigonometry in Trapezia
Trigonometry in Circles
Trigonometry in Circles
Trigonometry in Polygons
Trigonometry in Polygons
Word Problems
Problem solving Trigonometry – Angles of Elevation and Depression in Right Angled Triangles
Concept of Angle of Elevation and Depression
Trigonometry in Single Triangles
Right-Angled Trigonometry in Single Triangles
Trigonometry Involving Two Angles of Elevation
Right-Angled Trigonometry involving Two Angles of Elevation
Trigonometry Involving Two Angles of Depression
Right-Angled Trigonometry involving Two Angles of Depression
Trigonometry Involving Angle of Elevation and Depression
Right-Angled Triangles Involving Angle of Elevation and Depression
Trigonometry Involving Moving Objects
Right-Angled Trigonometry involving Moving Objects
Angle Between a Line and Plane (3D Trigonometry)
Identifying Projection Lines
Identifying Projection Lines
Identifying the angle
Identifying the angle between the line segment and base plane
Finding the Measurements
Determining the measurements of the given sides
Finding the Angle Measurement
Determining the measurement of the angle between the line segment and base plane
Trigonometry using 3 D shapes
Bearings
Concept & determination of direction
Identify the bearing from the diagram
Bearings involving direction
Back Bearing
Back Bearing
Single Bearing sums
Single Bearing Sums
Double Bearing sums
Double Bearing Sums (involving Right Angled Triangle)
Bearing in Triangles
Bearings in Triangles
Area of a Non-Right Angled triangle
Area of Non-right Angled Triangle
Calculating the Area of A Non-right Angled Triangle
Calculating Area of a Triangle
Calculating Area of a Equilateral /Isosceles Triangles
Finding Missing Dimensions
Finding Missing Dimensions when the Area is given
Finding the area of Quadrilaterals
Finding the area of Quadrilaterals
Finding the area of Polygons
Finding the Area of Polygons
Finding the area of Miscellaneous shapes
Area of Miscellaneous Shapes
Sine Rule
Concept of Sine Rule
Basic sums of sine rule
Finding side lengths when diagram is given
Finding side lengths by creating diagrams
Finding multiple side lengths
Sine Rule in Combined Triangles
Sine rule in combined triangles
Sine Rule Using Standard Angles
Sine rule using standard angles
Finding the missing angle
Finding the missing angle (with diagram provided)
Finding the missing angle (without the diagram)
Possible values of an angle
Finding the possible measures of the angle
Cosine Rule
Derivation of cosine rule
Finding the measurement of the side
Finding the measurement of the side (with diagram)
Finding the measurement of the side (without diagram)
Finding the measurement of the Angle
Finding the measurement of the angle
Finding the measurement of the angle (without diagram)
Using Unknowns in Cosine Rule
Using Unknowns
Application of Cosine Rule
Application of Cosine Rule
Advanced Trigonometry Word Problems
Advanced trigonometry word problems
Word Problems - Basics
Advanced Trigonometry in Geometric Figures
Advanced Trigonometry in Geometric Figures
Advanced trigonometry Involving Bearings
Problems Involving Bearings
Length of the Shortest Path
Length of the shortest path
Exact Trigonometric Values
Values of Standard Angles
Finding value of standard angles
Remembering Values of Standard Angles
Operations on Values of Standard Angles
Operations on Values of Standard Angles
Relation between sin and cos
Relation between sin θ and cos θ
Preview - Geometry & Trigonometry 0580 Extended 2025-27
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