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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 length
and all three angles are equal.
Lines of Symmetry?
Three.
Rotational Symmetry?
Order 3.
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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 it’s 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 it’s 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 it’s 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 it’s 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 it’s 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