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Classifying Quadrilaterals

In this worksheet, students answer problems related to classifying quadrilaterals.

'Classifying Quadrilaterals' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Derive and Illustrate Properties of Plane Figures

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

This worksheet is about the properties of quadrilaterals.

 

You should know the following words:

Bisect              cut a line in half

Parallel            having the same gradient

Right angle      a 90 degree angle

Diagonal          a line inside the shape from one corner to an opposite corner

 

In quadrilaterals, look out for sides of equal length, parallel sides, diagonals, equal angles etc.

 

Example

Look at these rhombuses.

 

 

All 4 sides are equal

They have 2 pairs of parallel sides

Their diagonals bisect at right angles

They have 2 pairs of equal angles

Select the name or names of quadrilaterals to fit the description.

 

No parallel sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parrallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

 

Diagonals bisect each other at right angles

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

 

No equal sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parrallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

 

2 pairs of equal angles which are different to each other.

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

4 equal sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

 

Diagonals cut each other at right angles

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

 

4 equal angles

 

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

 

1 pair of parallel sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

 

2 pairs of parallel sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

Select the name or names of quadrilaterals to fit the description.

diagonals bisect each other

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
Rectangle

Parallelogram

Kite

Square

Rhombus

Trapezium

  • Question 1

Select the name or names of quadrilaterals to fit the description.

 

No parallel sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Kite
EDDIE SAYS
Did you get this right? Here's one to remember about quadrilaterals... kites are the only quadrilateral that has no parallel sides! Let's make a note of that for future questions.
  • Question 2

Select the name or names of quadrilaterals to fit the description.

 

Diagonals bisect each other at right angles

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Square
Rhombus
EDDIE SAYS
The only way that the bisectors can intersect each other at right angles is if all the sides are the same length. This can only be either the square or the rhombus.
  • Question 3

Select the name or names of quadrilaterals to fit the description.

 

No equal sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Trapezium
EDDIE SAYS
The only quadrilateral that doesn't have to have any equal sides is the trapezium. This is another quadrilateral fact that we need to commit to memory!
  • Question 4

Select the name or names of quadrilaterals to fit the description.

 

2 pairs of equal angles which are different to each other.

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Parallelogram
Rhombus
EDDIE SAYS
How did you do here? It was a tricky one! Rectangles and squares have four angles that are identical to each other, i.e all angles are 90 degrees. So, we need to discount these two quadrilaterals and look at what is left. The idea here is that the angles are two pairs of equal angles that are not equal to each other. That only leaves the parallelogram and the rhombus.
  • Question 5

Select the name or names of quadrilaterals to fit the description.

4 equal sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Square
Rhombus
EDDIE SAYS
The only shapes where all the sides are equal are the square and the rhombus. Are you getting the picture here? There are some rules about the quadrilateral that we need to learn!
  • Question 6

Select the name or names of quadrilaterals to fit the description.

 

Diagonals cut each other at right angles

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Kite
Square
Rhombus
EDDIE SAYS
This question is best completed by actually just drawing them. This will show that this works for squares, rhombus' and kites. Why not give it a go to see if it helps?
  • Question 7

Select the name or names of quadrilaterals to fit the description.

 

4 equal angles

 

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Rectangle
Square
EDDIE SAYS
The only way this can happen for a quadrilateral is if all the angles are 90 (360 ÷ 4 = 90). Your only choices are the square and the rhombus.
  • Question 8

Select the name or names of quadrilaterals to fit the description.

 

1 pair of parallel sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Trapezium
EDDIE SAYS
It is important to notice here that it asks specifically for one pair of parallel sides. The only shape to fit this is the trapezium.
  • Question 9

Select the name or names of quadrilaterals to fit the description.

 

2 pairs of parallel sides

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Rectangle
Parallelogram
Square
Rhombus
EDDIE SAYS
This is actually easier to do by eliminating the ones that do not have two pairs of parallel sides. The ones that don't are the trapezium and the kite. All the others have two pairs of parallel sides.
  • Question 10

Select the name or names of quadrilaterals to fit the description.

diagonals bisect each other

Rectangle Parallelogram Kite

 

 

 

Square Rhombus Trapezium
CORRECT ANSWER
Rectangle
Parallelogram
Square
Rhombus
EDDIE SAYS
Remember that 'bisect' means 'cut in half'. Once you remember that you should be onto a winner! Again, this is easier to do by eliminating the ones that don't. The ones that don't are the kite and the trapezium.
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