© t madas. square rectangle parallelogram rhombus kite trapezium right-angled trapezium isosceles...
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© 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
B
C
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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A
B
C
A trapezium is a quadrilateral withONLY ONE pair of parallel sides
© T Madas