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Geometry and Measures

Geometry and Measures

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Shapes and Angles

Math Angel video: Illustrating polygons as 2D closed shapes with straight sides—triangle, star, plus non-polygons like curved shapes and a 3D cube.
Grade 7

Polygons and Types of Quadrilaterals

A polygon is a 2D closed shape with straight edges. Learn the properties of quadrilaterals like…
Math Angel video: Illustration of acute, right, obtuse, straight, reflex, and full angles, each labeled with their corresponding angle measures.
Grade 7

Measurement and Types of Angles

An angle is formed when two rays meet at a vertex. Explore acute, right, obtuse, straight, reflex, a…
Math Angel video: Definition, notation, and visualisation of line segments, rays, and lines—basic geometry concepts explained simply.
Grade 7

Perpendicular and Parallel Lines

Perpendicular lines intersect at 90°, while parallel lines stay equidistant and never intersect…
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Triangles and Constructions

Math Angel video: Triangle with vertices A, B, C; sides a, b, c; and angles alpha, beta, gamma, all labelled counterclockwise for easy reference.
Grade 9

Constructing Triangles

Learn how to construct triangles using ASA, SSS, and SSA methods with a compass, ruler & protractor…
Math Angel video: Diagram showing criteria for congruent triangles—SSS, SAS, ASA, and RHS—with labelled triangle examples for each case.
Grade 9

Congruent Triangles

Congruent triangles are identical in size and shape, with equal side lengths and angles. Learn the…
Math Angel video: Thales' Theorem explained with a diagram—shows a right-angled triangle formed by a diameter and any point on a semicircle.
Grade 10

Thales’ Theorem

Thales’ Theorem states that any triangle formed with a circle’s diameter as one side is always a…
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Volume and Surface Area

Math Angel video: Properties of solids explained—cuboids and cubes with details on vertices, edges, faces, and comparison of rectangular and square faces.
Grade 7

Solids and Units of Volume

Solids are 3D shapes with length, width, and height, like cuboids. Learn common units of volume (mm³…
Math Angel video: Diagram showing volume formulas for cuboid (5 cm × 3 cm × 2 cm = 30 cm³) and cube (5 cm sides = 125 cm³) with clear examples.
Grade 7

Volume of a Cuboid and Cube

The volume of a cuboid is calculated as V = length × width × height, and the volume of a cube is V…
Math Angel video: Illustration of surface area formulas for a cuboid (2lw + 2lh + 2hw) and a cube (6a²), with clear visual examples for both shapes.
Grade 7

Surface Area of Solids

The surface area of a solid is the total area of all its faces. Learn surface area formulas for cube…
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Area and Perimeter

Math Angel video: Diagram explains triangle area formula 1/2 × b × h, with examples of perpendicular height and notes on using any side as the base.
Grade 7

Area of a Triangle

Learn how to find the area of a triangle using the formula ½ × base × height. Explore step-by-step…
Math Angel video: Height of a parallelogram illustrated with perpendicular height h drawn from base b to the opposite side for clear geometric understanding.
Grade 10

Area of Parallelograms and Triangles

How to find the height and area of parallelograms and triangles using base and height formulas…
Math Angel video: Perimeter formulas for rectangles and squares with examples—rectangle (5 cm × 3 cm, perimeter 16 cm), square (2 m side, perimeter 8 m).
Grade 7

Perimeter of a Polygon

To find the perimeter of a polygon, add the lengths of all sides. Learn perimeter formulas for…
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Transformation and Symmetry

Math Angel video: Diagram showing lines of symmetry in shapes—rectangle (2), square (4), isosceles triangle (1), equilateral triangle (3), circle (infinite).
Grade 7

Line of Symmetry and Reflection Symmetry

A line of symmetry divides a shape into two identical halves. Learn to find how many lines of…
Math Angel video: Diagram of a square with rotational symmetry order 4, explaining centre of rotation, angle of rotation, and order of symmetry.
Grade 7

Rotational Symmetry

A shape has rotational symmetry if it looks the same when rotated less than 360°. Learn the center,…
Math Angel video: Column vectors with visual examples, explaining horizontal and vertical shifts using positive and negative values for clear understanding.
Grade 8

Translating Shapes

Translating shapes means moving them on a grid without changing size or orientation. Learn how to…
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Trigonometry

Math Angel video: Diagram explains Pythagoras theorem using right-angled triangles, showing a² + b² = c² with example 3² + 4² = 5² for clarity.
Grade 11

Pythagoras Theorem

In a right-angled triangle, a² + b² = c². Learn how to use it to find missing sides and calculate…
Math Angel video: Definitions, ratios, and visuals of sine, cosine, and tangent in a right triangle, clearly explaining each trigonometric function.
Grade 12

Trigonometry: Sine, Cosine, Tangent

Basic trigonometry ratios – how to use sin, cos, and tan to find missing sides or angles in right…
Math Angel video: Cosine Rule formula a² = b² + c² - 2bc·cos(A) explained with a triangle diagram labelled sides a, b, c, and angle A.
Grade 12

Cosine Rule

Apply the Cosine Rule to find sides and angles in non-right triangles using trigonometric methods….
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Shapes and Angles
Triangles and Constructions
Volume and Surface Area
Area and Perimeter
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