Properties of 2D Shapes

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Properties of 2-D Shapes

• Equilateral Triangle
• Isosceles Triangle
• Right-Angled Triangle
• Scalene Triangle
• Quadrilateral
• Rectangle
• Square
• Oblong
• Parallelogram

Trapezium Rhombus Kite Regular Pentagon Regular
Hexagon Regular Octagon Regular Decagon Circle
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Equilateral Triangle
Key Features
All three sides are the same lengthand all three
angles are equal.
Lines of Symmetry?
Three.
Rotational Symmetry?
Order 3.
3
Isosceles Triangle
Key Features
A triangle with two equal sides and two equal
angles.
Lines of Symmetry?
One.
Rotational Symmetry?
None.
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Scalene Triangle
Key Features
A triangle with three different sides and three
different angles.
Lines of Symmetry?
None.
Rotational Symmetry?
None.
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Right-Angled Triangle
Key Features
A triangle with one right-angle.
Can a Triangle be Right-Angled and Isosceles?
Yes.
Lines of Symmetry?
Only if its an isosceles triangle - one line.
Rotational Symmetry?
None.
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Quadrilateral
Key Features
A shape with four sides.
Lines of Symmetry?
It depends on what sort of quadrilateral it is.
Rotational Symmetry?
It depends on what sort of quadrilateral it is.
Names of Special Quadrilaterals
Rectangle, Square, Parallelogram, Trapezium,
Rhombus, Kite.
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Rectangle
Key Features
A quadrilateral with four right-angles.Opposite
sides are the same length.
Lines of Symmetry?
Two, unless the rectangle is a square.
Rotational Symmetry?
Order 2, unless the rectangle is a square.
Is a Rectangle a Parallelogram?
Yes, because both pairs of opposite sides are
parallel.
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Square
Key Features
A quadrilateral with four equal sides and four
right-angles.
Lines of Symmetry?
Four.
Rotational Symmetry?
Order 4.
Is a Square a Rectangle?
Yes, because its a quadrilateral with four
right-angles.
Is a Square a Parallelogram?
Yes, because both pairs of opposite sides are
parallel.
Is a Square a Rhombus?
Yes, because its got four sides all the same
length.
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Parallelogram
Key Features
A quadrilateral with opposite sides that are
parallel and the same length.
Lines of Symmetry?
Only if its a rectangle, a square or a rhombus.
Rotational Symmetry?
Order 2.
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Oblong
Key Features
A rectangle which is not a square.
Lines of Symmetry?
Two.
Rotational Symmetry?
Order 2.
Is an Oblong a Parallelogram?
Yes, because both pairs of opposite sides are
parallel.
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Trapezium
Key Features
A quadrilateral with just one pair of parallel
sides.
Lines of Symmetry?
Only if its an isosceles trapezium.
Rotational Symmetry?
None.
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Rhombus
Key Features
A quadrilateral with four equal sides.
Lines of Symmetry?
Two.
Rotational Symmetry?
Order 2.
Is a Rhombus a Parallelogram?
Yes, because both pairs of opposite sides are
parallel.
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Kite
Key Features
A quadrilateral with two pairs of adjacent sides
that are equal.
Lines of Symmetry?
One.
Rotational Symmetry?
None.
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Regular Pentagon
Key Features
A shape with five equal sides and five equal
angles.
Lines of Symmetry?
Five.
Rotational Symmetry?
Order 5.
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Regular Hexagon
Key Features
A shape with six equal sides and six equal angles.
Lines of Symmetry?
Six.
Rotational Symmetry?
Order 6.
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Regular Octagon
Key Features
A shape with eight equal sides and eight equal
angles.
Lines of Symmetry?
Eight.
Rotational Symmetry?
Order 8.
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Regular Decagon
Key Features
A shape with ten equal sides and ten equal angles.
Lines of Symmetry?
Ten.
Rotational Symmetry?
Order 10.
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Circle
Key Features
Every point on the circumference is the same
distance from the centre.
Lines of Symmetry?
Infinite.
Rotational Symmetry?
Order infinity.
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END OF PRESENTATION