Geometry Worksheets & Problems

printable worksheets > geometry worksheets & problems

 

Page updated : 12 April 2018

 

Learn high school geometry for free. Below are a number of worksheets covering geometry concepts.

 

Geometry the part of mathematics concerned with the properties and relationships between points, lines, surfaces, solids. You'll study angles, constructions, relative arrangements, shapes, projections, and Pythagorus' Theorem.

 

Euclidian Geometry is the study of shape, size, position and space. It is after the Greek mathematician Euclid who around 300BC made a list of objects and assumptions (called axioms) from which all results follow.

 

High school math students can use these geometry problems for study purposes. High School Teachers - you're welcome to copy these worksheets for classroom use. Parents - if you'd like to help your child learn math we suggest you start with our geometry tutorialsl section before returning to use these worksheets.

 

Click on any heading to view the worksheet. All worksheets are printable, either as a .gif or .pdf.

 

Angles and line segments. Naming angles and line segments. Year 9 or 10 Write on? Yes Answers? No Page 1
Angles Test. Calculating missing angles. Year 7 or 8 Write on? No Answers? No Page 1		Properties and Conjectures of Trapezoids. Discovering properties of trapezoids. Year 10 or 11 Write on? Yes Answers? No Page 1
Introduction to Orthographic Projection Identify the given views Year 8 or 9 Write on? Yes Answers? No 6 Pages (PDF)		Rotational and line symmetry Finding order of rotation and lines of symmetry of various shapes Year 10 or 11 Write on? No Answers? No Page 1 (PDF)
Shape Worksheet Identifying shapes Year 6 or 7 Write on? Yes Answers? No 2 Pages (PDF)		Course Syllabus for Informal Geometry. Course outline, description, assessment and discipline structure for a geometry course. Year 9 to 12 Write on? No Answers? No Page 1 Page 2
		Three Shapes. Investigating the role of perimeter in geometry. Year 8 or 9 Write on? No Answers? Yes Page 1 Page 2
Spring Break Picture Math. Combining geometry and art in a math project. Non-metric units used. Year 8 Write on? No Answers? No Page 1		Logo Worksheet. Use logo commands to draw a robot face. Make up a diagram of your own. Year 8 Write on? No Answers? No Page 1
Constructions. Designs to copy using a protractor and compass. Year 9 or 10 Write on? No Answers? No Page 1		On the Farm. Perpendicular and parallel lines. Types of angles. Year 9 or 10 Write on? Yes Answers? No Page 1
Symmetry. Reflecting across a mirror line. Drawing axes of symmetry. Year 9 or 10 Write on? Yes Answers? No Page 1		Birds Eye View. Plan and elevation of solid shapes. Year 10 or 11 Write on? Yes Answers? No Page 1 Page 2
Tangrams. Constructions and following instructions. Year 9 to 11 Write on? No Answers? No Page 1		Isometric Drawings. Drawing isometric shapes from plans. Isometric grid provided. Year 11 Write on? Yes Answers? No Page 1 Page 2
Farmer Brown. Solving problems using constructions and loci in scale drawings. Year 10 or 11 Write on? No Answers? No Page 1		Enlargement Worksheet. Finding centre of enlargement, scale factor, drawing enlargements using the projection method. Year 10 or 11 Write on? No Answers? No Page 1
Introduction to Orthographic Projection. Example and exercise identifying the plane views of simple shapes. Year 9 or 10 Write on? Yes Answers? No Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7		Rotational Symmetry. Order of rotational symmetry and axes of symmetry of a number of shapes. Includes brief notes and definitions. Year 8 to 10 Write on? Yes Answers? No Page 1
Shape Worksheet. Identifying and naming various 2D shapes. Year 7 or 8 Write on? Yes Answers? No Page 1 Page 2		Turning Grass into Milk. Finding the area of a sector of a circle using constructions and loci. (Measurements in feet.) Year 11 Write on? Yes Answers? No Page 1 Page 2

 

A note about year levels

Where appropriate each worksheet is given a year level that it is applicable to. As we're all in different countries the year level corresponds to the number of years at school. So, for example, a worksheet for Year 11 is for students in their 11th year of school.
Worksheets for earlier or later years may still be suitable for you.

 

Please note : This is a free service and these worksheets are supplied on 'as is' basis. We will not enter into any correspondence on the content of the worksheets, errors, answers or tuition.

 

 

 

 

 

FREE GEOMETRY TUTORIALS FOR HIGH SCHOOL STUDENTS

• Angles & Straight Lines
  An introduction to some basic geometry principles - the sum of angles on a straight line, angles around a point and vertically opposite angles.
  This tutorial is suitable for students in Year 9.
• Angles & Parallel Lines
  New defintions - corresponding angles, alternate angle and co-interior angles.
  This tutorial is suitable for students in Year 9.
• Angles & Triangles
  The angles inside and outside triangles have some special rules. Learn about the sum of the angles inside a triangle, exterior angles and special rules for equilateral and isosceles triangles.
  This tutorial is suitable for students in Year 9.
• Angles & Polygons
  Rules for the interior and exterior angles of polygons. And rules for special polygons like squares and kites.
  This tutorial is suitable for students in Year 10.
• Angles & Arcs
  More angle rules - this time for angles on an arc (or part of a circle).
  This tutorial is suitable for students in Year 11.
• Tangents to a Circle
  

  A tangent is a straight line touching one point on the circumference of a circle.

  Special angle rules are created with tangents.
  This tutorial is suitable for students in Year 11.
• Cyclic Quadrilaterals
  Put a quadrilateral inside a circle and you have a cyclic quadrilateral with special rules for interior and exterior angles.
  This tutorial is suitable for students in Year 11.
  
• Pythagoras' Theorem
  Named after Greek Mathematician, Pythagoras, this theorem is about the relation amongst the three sides of a right angle triangle.
  So if you know the length of two sides of a right angle triangle you can caculate the length of the other side. This has some wonderful practical applications.
  This tutorial is suitable for students in Year 10 or 11.
• Transformation Geometry 1 - Translation
  What is translation and how to write a translation in vector form.
  This tutorial is suitable for students in Year 10.
• Transformation Geometry 2 - Rotation
  What is rotation of a shape?
  This tutorial is suitable for students in Year 10.