Quadrilaterals and regular polygons
Types of exercises: angles in parallelograms, rhombi, trapezia and rectangles, regular polygons, diagonals of a rhombus and of a rectangle.
Exercises are drawn at random from a large bank - every click gives a different set.
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Give the measure of the angle
In trapezium ABCD with bases AB and CD the angle at vertex D measures 59 degrees. What is the angle at vertex A?
Give the measure of the angle
What is the interior angle of a regular polygon with 20 sides?
Find the length
The diagonals of a rhombus are 4 cm and 8 cm long. How long is a side of the rhombus?
Give the measure of the angle
In parallelogram ABCD the angle at vertex A measures 85 degrees. What is the angle at vertex C?
Compute the length
The longer diagonal of a regular hexagon is 12 cm long. Find the length of its shorter diagonal.
Find the length
A rhombus has a side of 11 cm, and one of its diagonals is 20 cm long. How long is the other diagonal?
Give the measure of the angle
In trapezium ABCD with bases AB and CD the angle at vertex A measures 132 degrees. What is the angle at vertex D?
Give the measure of the angle
From the centre of the circle circumscribed about a regular decagon every side is seen at the same angle. What is this angle?
Find the length
The sides of a rectangle are 5 cm and 1 cm long. How long is a diagonal of the rectangle?
Give the measure of the angle
The acute angle of a rhombus measures 86 degrees. What is the angle between the shorter diagonal and a side of the rhombus?
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