OCR GCSE Maths Quadrilaterals
This page covers the following topics:
A square is a quadrilateral with four equal sides and four 90º angles. The diagonals of a square bisect each other and are perpendicular to each other, therefore they are perpendicular bisectors. The diagonals of a square are equal to each other. Opposite sides of a square are parallel.
A rectangle is a quadrilateral with four 90º interior angles and opposite sides which are equal and parallel. The diagonals of a rectangle bisect each other.
A trapezium is a quadrilateral with one pair of opposite parallel sides. The sum of the interior angles of a trapezium is 360º. The area of a trapezium can be calculated using the following formula: (a + b)h/2, where h is the perpendicular height of the trapezium, and a and b are its opposite parallel sides.
A kite is a quadrilateral with two pairs of equal sides and one pair of equal angles. The sum of the interior angles of a kite is 360º. The diagonals of a kite bisect each other perpendicularly.
A rhombus is a quadrilateral with four equal sides, where opposite sides are parallel, and two pairs of opposite, equal angles. The sum of the interior angles of a rhombus is 360º. The diagonals of a rhombus bisect each other perpendicularly.
Given that a is 20 cm, b is 22 cm and h is 13 cm in the given diagram, calculate the area of the trapezium.
How is a rhombus different to a trapezium?
Sketch a rhombus, depicting its properties.
Describe what is meant by perpendicular bisectors.
Find the value of x.
End of page