Euclidean geometry grade 11
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This document discusses various topics in Euclidean geometry for Grade 10 including angles, triangles, congruency, similarity, Pythagoras' theorem, quadrilaterals, parallelograms, rectangles, rhombuses, squares, trapezoids, kites, and the mid-point theorem. It provides definitions and properties for each shape. The mid-point theorem states that the line joining the mid-points of two sides of a triangle is parallel to the third side and equal to half its length.
Euclidean geometry grade 11
- 1. 1 Everything Maths www.everythingmaths.co.za 7. Euclidean Geometry Grade 10
- 4. 4 Everything Maths www.everythingmaths.co.za Classification of triangles
- 7. 7 Everything Maths www.everythingmaths.co.za The theorem of Pythagoras
- 8. 8 Everything Maths www.everythingmaths.co.za Quadrilaterals A quadrilateral is a closed shape consisting of four straight line segments.
- 9. 9 Everything Maths www.everythingmaths.co.za Parallelogram A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Properties of a parallelogram: both pairs of opposite sides parallel both pairs of opposite sides are equal in length both pairs of opposite angles are equal both diagonals bisect each other
- 10. 10 Everything Maths www.everythingmaths.co.za Rectangle A rectangle is a parallelogram that has all four angles equal to 90属. Properties of a rectangle: Both pairs of opposite sides are parallel Both pairs of opposite sides are equal in length Both pairs of opposite angles are equal Both diagonals bisect each other Diagonals are equal in length All interior angles are equal to 90属
- 11. 11 Everything Maths www.everythingmaths.co.za Rhombus A rhombus is a parallelogram that has all four sides equal in length. Properties of a rhombus: Both pairs of opposite sides are parallel Both pairs of opposite sides are equal in length Both pairs of opposite angles are equal The diagonals bisect each other at 90属 . The diagonals of a rhombus bisect both pairs of opposite angles
- 12. 12 Everything Maths www.everythingmaths.co.za Square A square is a rhombus that has all four interior angles equal to 90属. Properties of a square: Both pairs of opposite sides are parallel Both pairs of opposite sides are equal in length Both pairs of opposite angles are equal Both diagonals bisect each other The diagonals bisect each other at 90属 . The diagonals bisect both pairs of interior opposite angles (i.e. all are 45属) All interior angles are equal to 90属 The diagonals are equal in length
- 13. 13 Everything Maths www.everythingmaths.co.za Trapezium A trapezium is a quadrilateral with one pair of opposite sides parallel.
- 14. 14 Everything Maths www.everythingmaths.co.za Kite A kite is a quadrilateral with two pairs of adjacent sides equal. Properties of a kite: Diagonal between equal sides bisects the other diagonal One pair of opposite angles are equal (the angles are between unequal sides) Diagonal between equal sides bisects the interior angles and is an axis of symmetry The diagonals intersect at 90属
- 15. 15 Everything Maths www.everythingmaths.co.za The mid-point theorem The mid-point theorem states that the line joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the length of the third side. The converse states: If a line is drawn through the mid-point of a side of a triangle parallel to the second side, it will bisect the third side.
- 16. 16 Everything Maths www.everythingmaths.co.za For more practice see: www.everythingmaths.co.za