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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

Equilateral Triangle

Key Features

All three sides are the same lengthand all three

angles are equal.

Lines of Symmetry?

Three.

Rotational Symmetry?

Order 3.

Isosceles Triangle

Key Features

A triangle with two equal sides and two equal

angles.

Lines of Symmetry?

One.

Rotational Symmetry?

None.

Scalene Triangle

Key Features

A triangle with three different sides and three

different angles.

Lines of Symmetry?

None.

Rotational Symmetry?

None.

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.

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.

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.

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.

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.

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.

Trapezium

Key Features

A quadrilateral with just one pair of parallel

sides.

Lines of Symmetry?

Only if its an isosceles trapezium.

Rotational Symmetry?

None.

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.

Kite

Key Features

A quadrilateral with two pairs of adjacent sides

that are equal.

Lines of Symmetry?

One.

Rotational Symmetry?

None.

Regular Pentagon

Key Features

A shape with five equal sides and five equal

angles.

Lines of Symmetry?

Five.

Rotational Symmetry?

Order 5.

Regular Hexagon

Key Features

A shape with six equal sides and six equal angles.

Lines of Symmetry?

Six.

Rotational Symmetry?

Order 6.

Regular Octagon

Key Features

A shape with eight equal sides and eight equal

angles.

Lines of Symmetry?

Eight.

Rotational Symmetry?

Order 8.

Regular Decagon

Key Features

A shape with ten equal sides and ten equal angles.

Lines of Symmetry?

Ten.

Rotational Symmetry?

Order 10.

Circle

Key Features

Every point on the circumference is the same

distance from the centre.

Lines of Symmetry?

Infinite.

Rotational Symmetry?

Order infinity.

END OF PRESENTATION

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