# Unit 15 Section 4 : Quadrilaterals

There are many special types of quadrilaterals; the following table lists some of them and their properties.

It is important to remember that a particular shape can fit into more than one description. We always use the most specific name. For example, if I am looking at a rectangle, then I could also call it a trapezium (because it has two parallel sides) or a parallelogram (because it has two pairs of parallel sides and opposite sides equal). However, because it also has four right-angles it is called a rectangle because that is the most specific name we can give it.

NOTE: The diagonals of a quadrilateral are the lines connecting opposite corners.

Practice Questions
Work out the answer to each of these questions then click on the button marked to see whether you are correct.

(a) Which quadrilaterals always have four sides the same length?

(b) Which quadrilaterals do not always have two pairs of parallel sides?

(c) Which quadrilaterals always have diagonals which meet at right-angles?

## Exercises

Work out the answers to the questions below and fill in the boxes. Click on the button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on to see the answer.

Question 1
Complete the following table:

 Quadrilateral Number oflines ofsymmetry Order ofrotationalsymmetry Diagonalsare the samelength Rectangle True False Square True False Parallelogram True False Rhombus True False Trapezium True False Kite True False

Question 2
What type of quadrilateral is shown in each of the diagrams below?
 (a) Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular (b) Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular (c) Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular (d) Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular (e) Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular (f) Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular
Question 3
The flow chart below is used to identify quadrilaterals.

Pick the correct quadrilateral for each output.
 Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular Rectangle Square Parallelogram Rhombus Trapezium Kite Irregular

You have now completed Unit 15 Section 4
 Your overall score for this section is Correct Answers You answered questions correctly out of the questions in this section. Incorrect Answers There were questions where you used the Tell Me button. There were questions with wrong answers. There were questions you didn't attempt.
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