Geometry and Trigonometry | Junior Cert Higher Math course | Alison

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Strand 2 Junior Certificate Ordinary Level Geometry and Trigonometry - Revised

Learn more about synthetic geometry, right-angled triangles, coordinate geometry, and trigonometrical ratios.

Free Course
This free online Junior Certificate course teaches you Ordinary Level Geometry and Trigonometry. Synthetic Geometry and Coordinate Geometry help us understand the dimensions and transformations of shapes and figures including lines, triangles, polygons, and circles. This course will teach you how to find sides and angles using different ratios. You will learn about geometric reasoning, equations of a straight line, and more.





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A ratio is a relationship between two numbers. It tells how much of one thing there is compared to another thing. This course begins by teaching the steps in finding angles and sides using trigonometrical ratios such as sine, cosine, and tangent ratios. You will then learn about different applications of geometric reasoning, which is the use of critical thinking, logical arguments, and spatial reasoning to solve problems and find new relationships. Coordinates are a set of values that show an exact position, and are usually a pair of numbers you can see on graphs.

This course will teach you about geometry with coordinates. You will look into the equation of a straight line, parallel lines, and perpendicular lines. You will also study the Pythagorean theorem which is a mathematical formula that provides us with the relationship between the sides in a right-angled triangle. Trigonometry is used to measure angles while geometry deals with angles only in terms of equality of angles and sums of angles. Upon the completion of this course, you will have a better understanding of synthetic geometry, right-angled triangles, coordinate geometry, and trigonometrical ratios. You will also be able to practice answering miscellaneous trigonometry questions. So, check out the course today and starting give your maths skills a solid boost.

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Learning Outcomes

Having completed this course you will be able to:

  • Demonstrate how to work with synthetic geometry including shapes.

  • Examine how to work with coordinate geometry, such as parallel and perpendicular lines, circles and graphs.

  • Demonstrate how to solve equations using trigonometry, such as sines, cosines and tangents.


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

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