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

All three sides are the same lengthand all three angles are equal.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Three.

Order 3.

Isosceles Triangle

A triangle with two equal sides and two equal angles.

Key Features

Lines of Symmetry?

Rotational Symmetry?

One.

None.

Scalene Triangle

A triangle with three different sides and three different angles.

Key Features

Lines of Symmetry?

Rotational Symmetry?

None.

None.

Right-Angled Triangle

A triangle with one right-angle.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Only if it’s an isosceles triangle - one line.

None.

Can a Triangle be Right-Angled and Isosceles?

Yes.

Quadrilateral

A shape with four sides.

Key Features

Lines of Symmetry?

Rotational Symmetry?

It depends on what sort of quadrilateral it is.

It depends on what sort of quadrilateral it is.

Names of Special Quadrilaterals

Rectangle, Square, Parallelogram, Trapezium, Rhombus, Kite.

Rectangle

A quadrilateral with four right-angles.Opposite sides are the same length.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Two, unless the rectangle is a square.

Order 2, unless the rectangle is a square.

Is a Rectangle a Parallelogram?

Yes, because both pairs of opposite sides are parallel.

Square

A quadrilateral with four equal sides and four right-angles.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Four.

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.

Parallelogram

A quadrilateral with opposite sides that are parallel and the same length.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Only if it’s a rectangle, a square or a rhombus.

Order 2.

Oblong

A rectangle which is not a square.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Two.

Order 2.

Is an Oblong a Parallelogram?

Yes, because both pairs of opposite sides are parallel.

Trapezium

A quadrilateral with just one pair of parallel sides.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Only if it’s an isosceles trapezium.

None.

Rhombus

A quadrilateral with four equal sides.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Two.

Order 2.

Is a Rhombus a Parallelogram?

Yes, because both pairs of opposite sides are parallel.

Kite

A quadrilateral with two pairs of adjacent sides that are equal.

Key Features

Lines of Symmetry?

Rotational Symmetry?

One.

None.

Regular Pentagon

A shape with five equal sides and five equal angles.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Five.

Order 5.

Regular Hexagon

A shape with six equal sides and six equal angles.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Six.

Order 6.

Regular Octagon

A shape with eight equal sides and eight equal angles.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Eight.

Order 8.

Regular Decagon

A shape with ten equal sides and ten equal angles.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Ten.

Order 10.

Circle

Every point on the circumference is the same distance from the centre.

Key Features

Lines of Symmetry?

Rotational Symmetry?

Infinite.

Order infinity.

END OF PRESENTATION