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Shape and Space Free Revision Notes

1: Loci

The locus means the area or line which satisfies a condition. Below are several examples:      The points which are x away from point A.Locus is a circle around point A

2: Congruency
Two shapes which are equal in shape and size are called congruent. Although you should be able to see if shapes are congruent, the most complicated shape to understand is the triangle. There are sever

3: Circle Theorum
When working with circles there are several circumastances which you need to know:      The angle at the centre is twice the angle at the circumference for angles which s

4: Trignometry
Triganometry is the study of triangles which connects sides to angles. It uses functions called the sine, cosine and tangent. You can find these on scientific calculators with buttons named sin, cos a

5: Pythagoras Theorum
Pythagoras theoreum connect the lengths of two sides of a right-angled triangle with the length of the third side. It only works with right-angled triangles. Pythagoras threoreum is r 2 = x 2 + y 2

6: Transformations
Shapes can be put under transformations. This means a shape can be changed by a set of instructions. The original shape is put under instructions which are given to you. You may be able to change a wh

7: Three Dimension
In GCSE mathematics you need to be able to work with three dimensional objects. Normally, you have to work out things like volume and surface area. Also you have to know how to use three-dimensional c

8: Co-ordinates
Co-ordinates are a set of numbers which pin point a specific point on a graph. They are written in the form ( x, y ), where x is the distance along the x-axis, the horizontal, and the y is the distan

9: Volume
Volume is a three dimentional measure of space within an object. Below, there are a variety of objects with the formula for its volume. Volumes are measured in units3.     &n

10: Area
Area is a two dimentional measure of space within a shape. Below, there are a variety of shapes with how to find the area. The area of the shapes are shown as units2. There are also several three dim


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