As part of your work in KS3 Maths, you'll have come across a variety of shapes. Circles, triangles, pentagons and more. This particular quiz is all about quadrilaterals.

Quadrilaterals are two dimensional shapes that have four sides and four angles. Squares and oblongs spring to mind but there are different kinds of quadrilaterals, each with different properties. As their name suggests, quadrilaterals have four sides (this comes from Latin, with QUAD meaning 4, and LATERAL meaning sides). What other properties do they have? Well, the interior angles of a quadrilateral always add up to 360^{o}.

There are some other rules, such as lengths of sides or whether they are parallel which classify quadrilaterals into different types - rhomboids or trapeziums for example. Try the quiz that follows and see how well you know your quadrilaterals.

1.

A scalene quadrilateral has no sides which are .......

curved

parallel

equal

smooth

Just as a scalene triangle has sides of unequal length, the same is true of a scalene quadrilateral

2.

What is a true statement about a kite?

All four sides are equal in length

Has one pair of parallel sides

Has two pairs of adjacent sides equal in length

It has no lines of symmetry

A kite is a quadrilateral whose four sides can be grouped into two pairs. Each pair is adjacent and of equal-length

3.

How does a rhombus differ from a parallelogram?

All sides are equal in length

Opposite angles are equal

Opposite sides are parallel

Rotational order of symmetry is two

A rhombus is like a 'squashed' square or a diamond

4.

How many angles of a square MUST be 90 degrees?

2

3

4

None

All four sides MUST be equal too

5.

Here are four shapes. Which one is NOT a quadrilateral?

Kite

Parallelogram

Trapezium

Triangle

A triangle does not have four sides

6.

What makes an isosceles trapezium different to an 'ordinary' trapezium?

A line of symmetry

No rotational symmetry

Non-parallel lines of equal length

One pair of parallel lines

Just as an isosceles triangle has two sides of equal length, so too with an isosceles trapezium which makes it symmetrical

7.

The interior angles of a quadrilateral add up to how many degrees?

90

180

360

720

By adding a diagonal you can split a quadrilateral into 2 triangles. The sum of the angles in a triangle is 180^{o}, so the sum of two triangles will be 360^{o}

8.

Which of these shapes is NOT a quadrilateral?

Circle

Rectangle

Rhombus

Square

A circle does not have four sides

9.

How many sides of a trapezium MUST be parallel?

2

3

4

None

The definition of a trapezium is a quadrilateral with at least one pair of parallel sides

10.

Which of the following does a parallelogram NOT have?

A line of symmetry

Four angles

Opposite angles are equal

Opposite sides which are equal in length

If it did have a line of symmetry then it would be either a rhombus or a rectangle

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