GCSE(F),
Quadrilaterals are shapes with four sides.
In the following diagrams:
the arrows indicate parallel lines;
the marks on lines indicate lines that are bisected;
angles with the same value have the same colour;
filled angles are bisected by the diagonals.
Rectangle | |
---|---|
All four interior angles are right angles | |
Square | |
A rectangle with all sides of equal length | |
Parallelogram | |
Two sets of parallel sides | |
Rhombus | |
A parallelogram with equal length sides | |
Kite | |
A quadrilateral reflected in the line BD | |
Trapezium | |
One set of parallel sides DAB + CDA = 180º ABC + BCD = 180º |
trapezium properties |
1. Give one difference between a trapezium and a parallelogram.
Answer: A parallelogram has two sets of parallel sides: a trapezium only has one set
A parallelogram has two sets of parallel sides: a trapezium only has one set
2. What is the size of the angle CDA in this kite?
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Answer: 60º
The angle BCD, directly opposite DAB, is equal to that angle and is 100º.
there are 360º in a quadrilateral: 360 - 100 - 100 - 100 = 60º