Zandile Loves Maths

Grade 10 Overview

Parallel lines

Test Your Knowledge: Parallel lines

Example : Properties of lines and Parallel lines

Exercise: Properties of lines and Parallel lines

Triangle notes

Example: Triangles

Exercise: Triangles

Quadrilaterals notes

Test Your Knowledge: Quadrilaterals

Survey

Exercises Solutions

Grade 11 Overview

Circle Terminology

Test Your Knowledge: Circle Terminology

Theorem 1: Perpendicular from circle centre bisects chord

Example : Theorem 1

Exercise : Theorem 1

Proof for Theorem 1: Perpendicular line from circle centre bisects chord

Theorem 2: Angle at the centre is equal to two times angle at the circumference

Exercise : Theorem 2

Proof for Theorem 2: Angle at the centre is equal to two times angle at the circumference

Theorem 3: Angles in the same segment

Example : Theorem 3

Exercise : Theorem 3

Proof for Theorem 3: Angles in the same segment

Theorem 4: Cyclic Quadrilateral

Example 1: Theorem 4

Exercise 1: Theorem 4

Proof for Theorem 4: Opposite angles of a cyclic quad are supplementary

Proof Cyclic Quadrilaterals

Example 2: Proof Cyclic Quadrilaterals

Exercise 2: Proofing Cyclic Quadrilaterals

Theorem 5: Tangents (Tangents from same point and tangent perpendicular to radius)

Example 1: Theorem 5

Exercise 1: Theorem 5

Proof for Theorem 5: Tangents from the same point

Theorem 5: Tan-chord theorem

Example 2: Theorem 5

Exercise 2: Theorem 5

Proof for Theorem 5: Tan-chord theorem

Exercises Solutions

Grade 11 Questions from Past Papers Overview

Nov 2022 Question 8.1 (Example)

Nov 2022 Question 9.2 (Example)

Nov 2021 Question 9

Nov 2020 Question 8

Nov 2019 Question 8.1

Nov 2019 Question 9

Nov 2018 Question 8.1

Nov 2018 Question 9.2

Euclidean Geometry Grade 11 Past Questions Solutions

Grade 12 Overview

Proportionality of triangles

Test Your Knowledge: Proportionality of triangle

Proof : Proportion theorem

Mid-point theorem

Example: Proportion theorem

Exercise: Proportion theorem

Similarity conditions

Proof: Equiangular triangle are similar

Grade 12 Questions from Past Paper Overview

Nov 2022 Question 8.2 (Example)

Nov 2022 Question 10 (Example)

Nov 2021 Question 10

Nov 2021 Question 11.2

Nov 2020 Question 8.2

Nov 2020 Question 9.2

Nov 2020 Question 10

Nov 2019 Question 8.2

Nov 2019 Question 10.2

Nov 2018 Question 8.2

Nov 2018 Question 10

Euclidean Geometry Grade 12 Past Question Solutions