© T Madas

© T Madas

Square Rectangle Parallelogram

Rhombus Kite

Trapezium Right-

angled trapezium

Isosceles trapezium

© T Madas

Rectangle

Parallelogram

Rhombus

Square

Opposite sides:

Opposite sides:Opposite angles: Equal

EqualParallel

Diagonals:

All 4 sides: Equal

perpendicular

Diagonals:

All 4 angles: right

equal

All of the above!

© T Madas

Kite

Trapezium

Right angled trapezium

Isosceles trapezium

One pair of parallel sides

One pair of parallel sides

Non-parallel sides, equal

Equal Diagonals

One pair of parallel sides

2 right angles

No parallel sides

Perpendicular diagonals

Exactly 1 pair of opposite angles equal

© T Madas

A flat shape with four sides is called a Q……………..The 4 angles of a quadrilateral add up to °A trapezium is a q……………… with only one pair of p………… sidesIf the sides of a trapezium which are not parallel are equal then the trapezium is called I……………. T……………..A trapezium with two right angles is called a R...….. - …..….. TrapeziumA parallelogram is a q…………….. that has:

Opposite sides p………….Opposite sides e………….Opposite angles e…………

A rectangle is a special p…………. that has:Opposite sides p……………….Opposite sides e…………….It also has 4 R………. A………….A rhombus is also a special p……………….. that has all 4 s…….. equalThe square is a p…………………. too. It has:

Opposite sides p………………All 4 s………. equalIt has 4 R……… A……………

A kite is also a special q………………….that we get when we “squash” a r………………. from one end

© T Madas

DrawingParallelograms

© T Madas

How to draw a parallelogram

Start with the baseFor example: draw a horizontal line 10 squares long

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© T Madas

How to draw a parallelogram

Start with the baseFor example: draw a horizontal line 10 squares long

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Then draw a slopping line starting from one end of the bottom line.

© T Madas

How to draw a parallelogram

Start with the baseFor example: draw a horizontal line 10 squares long

Then draw a horizontal line 10 squares long

Then draw a slopping line starting from one end of the bottom line.0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

© T Madas

How to draw a parallelogram

Start with the baseFor example: draw a horizontal line 10 squares long

Then draw a horizontal line 10 squares long

Join the 3 sides

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Then draw a slopping line starting from one end of the bottom line.

© T Madas

DrawingRhombuses

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

Stretch the horizontal diagonal

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

What shape do we get when the diagonals become equal?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

How to draw a rhombus

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

Make sure the midpoint is the midpoint of both lines

Can you see the rhombus?

What do we call the lines they help us draw the rhombus?

What happens if we change their length?

© T Madas

DrawingKites

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

How to draw a kite

If we “squash” a rhombus from one end only we get a kite

Start with a horizontal line

Mark its midpoint

Draw a vertical line through the midpoint.

What did we do different compared with when we drew a rhombus?

Can you see the kite?

How can we change the kite into a rhombus?

© T Madas

© T Madas

© T Madas

© T Madas

© T Madas

Two shapes are drawn on a square grid.Put a tick next to all the words that could be used to describe each shape.Put a ring around the word that best describes the shape.

quadrilateralparallelogramrectanglerhombussquare

quadrilateralparallelogramrectanglerhombussquare

© T Madas

© T Madas

Two shapes are drawn on a square grid.Put a tick next to all the words that could be used to describe each shape.Put a ring around the word that best describes the shape.

quadrilateralparallelogramrectanglerhombussquare

quadrilateralparallelogramrectanglerhombussquare

© T Madas

© T Madas

It is possible to draw a quadrilateral with 1 right angle.

It is possible to draw a quadrilateral with 2 right angles.

It is possible to draw a quadrilateral with 3 right angles.

It is possible to draw a quadrilateral with 4 right angles.

Look at the statements written on the 4 cards below.

Tick the correct statements.

If it is possible to draw the described quadrilateral, draw an example of it.

© T Madas

© T Madas

Points A, B and C are marked on the grid shown below.

Mark on the grid the point D so that ABCD is a trapezium.

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A trapezium is a quadrilateral withONLY ONE pair of parallel sides

© T Madas

Points A, B and C are marked on the grid shown below.

Mark on the grid the point D so that ABCD is a trapezium.

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B

C

A trapezium is a quadrilateral withONLY ONE pair of parallel sides

© T Madas