properties of 2-d shapes equilateral triangle isosceles triangle right-angled triangle scalene...
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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
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