Download 2d and 3d shapes

WJEC MATHEMATICS
INTERMEDIATE
SHAPE AND AREA
2D AND 3D SHAPES
1
Contents
Triangles
Quadrilaterals
2D Shapes
Keywords
3D Shapes
Credits
WJEC Question bank
http://www.wjec.co.uk/question-bank/question-search.html
BBC Bitesize
Edexcel Past Paper Questions
2
Triangles
All triangles have three sides and three angles. There are four types
of triangles you should know and you should know their properties.
Name
Diagram
Properties
Equilateral
 All sides are the
same length
 All angles are
60o
Right Angled
 One of the
angles has to
be 90o (denoted
by a square)
Scalene
 All sides and all
angles are
different
Isosceles
 Two sides are
the same length
(denoted by the
dashes)
 Two angles
shown in the
diagram are the
same
3
Quadrilaterals
Quadrilaterals are shapes that have four sides and four angles.
Name
Diagram
Properties
 All angles are 90o
Square
 All sides are the same length
 The diagonals are the same
length
 Diagonals bisect at 90o
Rectangle
 All angles are 90o
 Opposite sides are the same
length
 Same length diagonals
 Opposite sides are parallel
Rhombus
 Opposite angles are the
same
 All sides are the same
 Adjacent angles sum to 180o
 Different length diagonals
 Opposite sides are parallel
 Diagonals bisect at 90o
 Opposite angles are the
same
 Adjacent angles sum to 180o
 Opposite sides are the same
 Opposite sides are parallel
Parallelogram
Trapezium
 Two sides (opposite) are
parallel
Kite
 Two pairs of sides of equal
length
 One pair of diagonally
opposite angles
 Diagonals bisect at 90o
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2D Shapes
Here are some other 2D shapes that you should know
Name
Diagram
Properties
 5 Sides
Pentagon
Hexagon
 6 Sides
Heptagon
 7 Sides
Octagon
 8 Sides
Nonagon
 9 Sides
Decagon
 10 Sides
Keywords
 A regular shape is a shape with all sides and angles equal.
The above shapes are all regular shapes. The opposite of this
is an irregular shape.
 The diagonals of a quadrilateral is the length from opposite
vertices (corners)
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3D Shapes
Shape
Sphere
Cube
Cuboid
Cylinder
Cone
Square Based
Pyramid
Tetrahedron
(Triangular based
pyramid)
Triangular Prism
Diagram
Properties
6 Faces (squares)
12 Edges
8 Vertices
6 Faces (4 rectangles, 2
squares)
12 Edges
8 Vertices
3 Faces (2 circle, 1 rectangle)
2 Edges
2 Faces
1 Edge
1 Vertex
5 Faces (1 square, 4 triangles)
8 Edges
5 Vertices
4 Faces (triangles)
6 Edges
4 Vertices
5 Faces (3 rectangles, 2
triangles)
9 Edges
6 Vertices
Keywords
 A shape with a consistent cross section is a prism. (If you
make a cut parallel to the two faces, you have the same shape)
 A pyramid has sloping faces that meet at a vertex
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Exam Questions G14
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