All about Shapes
Properties of Shapes
Number of sides
Number of angles
Number of lines of symmetry
Regular or irregular
Right Angles
Parallel lines
Shapes
Triangles
Quadrilaterals
Polygons
Regular Shapes
Key Words
Quadrilaterals
Shapes with 4 sides!
What shape is this?
Quadrilaterals
A Square
Quadrilaterals
How many lines of symmetry does
a square have?
1
3
Quadrilaterals
4
2
Properties of a Square
 Has 4 equal sides
 Has 4 equal angles
Quadrilaterals
 Each angle is a right angle
 Has 4 lines of symmetry
 Is a regular shape
What shape is this?
Quadrilaterals
A Rectangle
Quadrilaterals
How many lines of symmetry
does a rectangle have?
1
Quadrilaterals
2
Properties of a Rectangle
 Has 2 pairs of equal sides
 Has 4 equal angles
Quadrilaterals
 Each angle is a right angle
 Has 2 lines of symmetry
 Is an irregular shape
What shape is this?
Quadrilaterals
A Parallelogram
Quadrilaterals
How many lines of symmetry
does a parallelogram have?
Quadrilaterals
None!
Properties of a Parallelogram
 Has 2 pairs of equal sides
 Has 2 pairs of equal angles
Quadrilaterals
 Opposite sides are parallel
 Has NO lines of symmetry
 Is an irregular shape
What shape is this?
Quadrilaterals
A Rhombus
Quadrilaterals
How many lines of symmetry
does a rhombus have?
1
Quadrilaterals
2
Properties of a Rhombus
 Has 4 equal sides
 Has 2 pairs of equal angles
Quadrilaterals
 Opposite sides are parallel
 Has 2 lines of symmetry
 Is an irregular shape
What shape is this?
Quadrilaterals
A Trapezoid
Quadrilaterals
How many lines of symmetry
does a trapezoid have?
Quadrilaterals
None!
How many lines of symmetry
does this trapezoid have ?
Quadrilaterals
1
Because these angles are equal.
Properties of a Trapezoid
Quadrilaterals
 Has unequal sides
One pair of opposite sides are parallel
 Usually has NO lines of symmetry
 Is an irregular shape
What shape is this?
Quadrilaterals
A diamond
Quadrilaterals
How many lines of symmetry
does a diamond have?
1
Quadrilaterals
Properties of a diamond
 Has 2 pairs of equal sides
 Has 1 pair of equal angles
Quadrilaterals
 Equal sides are adjacent
 Has 1 line of symmetry
 Is an irregular shape
Quadrilaterals
Quadrilaterals
Shapes with 4 sides!
Triangles
Shapes with 3 sides!
What type of triangle is this?
Triangles
An Equilateral Triangle
Triangles
How many lines of symmetry
does an equilateral triangle
have?
1
Triangles
2
3
Properties of an Equilateral Triangle
 Has 3 equal sides
 Has 3 equal angles
Triangles
 Each angle is a 60o angle
 Has 3 lines of symmetry
 Is a regular shape
What type of triangle is this?
Triangles
An Isosceles Triangle
Triangles
How many lines of symmetry
does an Isosceles Triangle
have?
1
Triangles
Properties of an Isosceles Triangle
 Has 2 equal sides
 Has 2 equal angles
Triangles
Has 1 line of symmetry
 Is an irregular shape
What type of triangle is this?
Triangles
A Scalene Triangle
Triangles
How many lines of symmetry
does a scalene triangle have?
Triangles
None!
Properties of an Scalene Triangle
 Has NO equal sides
 Has NO equal angles
Triangles
Has NO lines of symmetry
 Is an irregular shape
What type of triangle is this?
Triangles
A right triangle
Triangles
Properties of a right triangle
 Has 1 right angle
 May be an isosceles triangle
Triangles
May have 1 line of symmetry
 Is an irregular shape
It will be isosceles and have 1
line of symmetry when these 2
sides are equal.
Triangles
Triangles
Shapes with 3 sides!
Key Words
 Regular Shape
 Parallel
 Perpendicular
 Vertex
 Diagonal
 Bisect
Regular Shape
Shapes are regular when
 All their sides are the same length
 All their angles are the same size
Parallel
Lines are parallel
when they are always the
same distance apart.
Perpendicular
Lines are perpendicular
when they meet at right
angles.
Vertex
A Vertex is a corner of a
shape where two lines meet.
Diagonal
A Diagonal is a straight line
that joins one corner (vertex)
of a shape to a non adjacent
corner (vertex)
Bisect
A line that cuts a shape
exactly in half, Bisects the
shape
Key Words
 Regular Shape
 Parallel
 Perpendicular
 Vertex
 Diagonal
 Bisect
Polygons
Shapes with many
sides!
What shape is this?
Polygons
A Hexagon
Polygons
How many lines of
symmetry does a hexagon
have?
4
1
Polygons
5
3
6
2
Properties of a Regular
Hexagon
 Has 6 equal sides
Polygons
 Has 6 equal angles
Has 6 lines of symmetry
What shape is this?
Polygons
A Pentagon
Polygons
How many lines of symmetry
does a pentagon have?
1
Polygons
3
5
4
2
Properties of a Regular
Pentagon
 Has 5 equal sides
Polygons
 Has 5 equal angles
Has 5 lines of symmetry
Polygons
Polygons
Shapes with many
sides!
Lines of Symmetry - Look at these shapes
Can you suggest a rule?
Regular shapes
 All the sides are the same length
Regular
Shapes
 All the angles are equal
 Have the same number of lines of
symmetry as the number of sides
Look at these shapes
Regular
Shapes
Heptagon
Octagon
How many lines of symmetry?
Lines of symmetry
Regular
Shapes
Heptagon
7
Octagon
8
Lines of symmetry
Regular
Shapes
Heptagon
7
Octagon
8