Basic Geometry

L.O – To be aware of and begin to learn the basic rules of

geometry, which are fundamental in solving geometry

questions

Geometry is the division of mathematics that deals with points, lines,

shapes and space.

Here as some of the basic rules you should memorize and apply to geometry

questions.

1. Angles on a straight line add up to 180º.

2. Angles in a triangle add up to 180º.

3. Angles in a quadrilateral add up to 360º.

4. Angles around a point add up to 360º.

In an isosceles triangle….

2 sides are of equal length

2 angles are the same

Example

Find all the unmarked angles in this diagram.

a) Triangle ABD is an isosceles triangle. Using the rule that two angles are the

same in an isosceles triangle, angle BAD = angle ABD = 32º

b) Using ‘angles in a triangle add up to 180º’, angle ADB = 116º

c) Using ‘angles in a straight line add up to 180º’, angle ADC = 180 – 116 = 64º

d) Because triangle ACD is also an isosceles triangle, angle ACD = 64º also.

e) Finally CAD = 180 – 64 – 64 = 52º

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Questions

Find the size of the marked angles.

Related topics

Trigonometry Pythagoras Shapes