Geometry Basics Foundation Worksheets, Questions and Revision

Geometry Basics Foundation Worksheets, Questions and Revision

GCSE 1 - 3KS3AQAEdexcelOCRWJECFoundationAQA 2022Edexcel 2022OCR 2022WJEC 2022

Geometry Basics: The 5 Simple Rules

Geometry basics will teach you the 5 simple rules needed to answer basic geometry questions, as well as give you the foundations to build as you work through the different geometry topics.

Having basic algebra knowledge is required to solve geometry problems.

Level 1-3 GCSE AQA Edexcel OCR WJEC
angles in a triangle 180 degrees

Angles in a triangle add up to 180\degree

angles in a triangle 180 degrees

The angles in a triangle add up to 180\degree

\textcolor{red}{a} + \textcolor{skyblue}{b} + \textcolor{green}{c} = 180\degree

Level 1-3 GCSE AQA Edexcel OCR WJEC
angles in a quadrilateral 360 degrees

Angles in a quadrilateral add up to 360\degree

angles in a quadrilateral 360 degrees

The angles in a quadrilateral (4 sided shape) add up to 360\degree

\textcolor{red}{a} + \textcolor{skyblue}{b} + \textcolor{green}{c} + \textcolor{yellow}{d}= 360\degree

Level 1-3 GCSE AQA Edexcel OCR WJEC

Angles on a straight line add up to 180\degree

The angles on a straight line all add up to 180\degree

\textcolor{red}{a} + \textcolor{skyblue}{b} + \textcolor{green}{c} = 180\degree

Level 1-3 GCSE AQA Edexcel OCR WJEC

Angles around a point add up to 360\degree

angles around a point 360 degrees

The angles around a point all add up to 360\degree

\textcolor{red}{a} + \textcolor{skyblue}{b} + \textcolor{green}{c} + \textcolor{yellow}{d}= 360\degree

Level 1-3 GCSE AQA Edexcel OCR WJEC

Two sides and two angles of an isosceles triangle are the same

base angles isosceles triangle equal
base angles isosceles triangle equal

The two sides marked with the lines are the same length.

The two base angles, \textcolor{red}{x}, are the same.

Level 1-3GCSEAQAEdexcelOCRWJEC
Level 1-3 GCSE AQA Edexcel OCR WJEC
unknown angle in triangle

Example 1: Angles in a Triangle

Find the value of x in the triangle shown:

[2 marks] 

unknown angle in triangle

We know that angles in a triangle add up to 180\degree,

40\degree + 80\degree + x\degree = 180\degree

x= 180\degree -40\degree - 80\degree = 60\degree

x= 60\degree

Level 1-3 GCSE AQA Edexcel OCR WJEC
unknown angle isosceles triangle

Example 2: Finding a Missing Angle

Find the value of x in the triangle shown:

[2 marks]

unknown angle isosceles triangle

We know that in an isosceles triangle, the base angles are equal.

This means we can form the equation:

x\degree + x\degree + 50\degree = 180\degree

2x\degree = 180\degree - 50\degree

2x = 130\degree

x\degree = 65\degree

Level 1-3 GCSE AQA Edexcel OCR WJEC

Example Questions

Angles on a straight line all add together to make 180\degree

 

\begin{aligned}103\degree+\angle CDB &= 180\degree \\ \angle CDB &= 180\degree-103\degree = 77\degree \end{aligned}

Angles around a point all add together to make 360\degree

 

100\degree+50\degree+x\degree+105\degree =360\degree \\ x=360\degree-100\degree-105\degree-50\degree \\ x= 105\degree

Base angles in an isosceles triangle are equal and angles in a triangle add up to 180\degree

 

61\degree+61\degree+y\degree =180\degree \\ y\degree =180\degree-61\degree-61\degree \\ y=58\degree

Base angles in an isosceles triangle are equal and angles in a triangle add up to 180\degree

 

\begin{aligned}x+x+55\degree&=180\degree \\ 2x&=180\degree-55\degree = 125\degree  \\ x&=\dfrac{125\degree}{2}\end{aligned}

x=62.5\degree

Angles on a straight line all add together to make 180\degree so

 

x=180\degree-115\degree=65\degree

 

Angles in a triangle add up to 180\degree

 

y=180\degree-25\degree-65\degree

y=90\degree

Worksheet and Example Questions

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(NEW) Geometry Problems Foundation Exam Style Questions - MME

Level 4-5 GCSENewOfficial MME

Drill Questions

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Angles - Drill Questions

Level 1-3 GCSE
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Geometry Problems - Drill Questions

Level 4-5 GCSE

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