JSS 2 MATHEMATICS

QUADRILATERALS

A quadrilateral is a plane shape that has four (4) sides. Quadrilaterals include:

1. Rectangles
2. Squares
3. Parallelograms
4. Rhombuses
5. Trapeziums
6. Kites

Properties of Quadrilaterals

1. Rectangles
2. The opposite sides are equal in length
3. The opposite sides are parallel
4. All angles are equal. Each angle is equal to 90^o (i.e. right angles)
5. The two diagonals are equal in length
6. They have 2 (two) lines of symmetry
7. The diagonals bisect each other

 

2. Squares
3. Each interior angle is equal t 90^o
4. All sides are equal in length
5. Opposite sides are parallel
6. The diagonals intersect at 90^o
7. The diagonals bisect corner angles so that each angle is 45^o
8. They have four lines of symmetry
9. The diagonals bisect each other
10. Parallelograms
11. Both pairs of opposite sides are parallel
12. Opposite sides are equal in length
13. Opposite angles are equal in size
14. No line of symmetry
15. The diagonals bisect each other
16. Rhombuses
17. All sides are equal
18. Opposite angles are equal in size
19. Opposite sides are parallel
20. Each diagonal bisect the corner angles
21. Diagonals intersect at 90^o
22. The diagonals bisect each other
23. They have two lines of symmetry
24. Trapeziums

A trapezium is a quadrilateral that has one pair of opposite sides parallel. There are two types of trapezium:

1. Isosceles trapezium
2. Non-isosceles trapezium

 

Isosceles trapezium

1. One pair of opposite sides is parallel
2. The parallel sides are not equal in length

• They have two pairs of equal angles

1. They have equal diagonals
2. They have one line of symmetry
3. The non-parallel opposite sides are equal in length.

 

Non-isosceles trapezium

1. One pair of opposite sides is parallel
2. No line of symmetry
3. Kites
4. The adjacent pairs of sides are equal in length
5. One pair of opposite angle is equal in size
6. Diagonals intersect at right angle (90^o)
7. One diagonal bisects the other diagonal
8. They have one line of symmetry

 

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