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How to be thorough and precise when doing geometry homework

Geometry is mathematics that looks at flat and three dimensional shapes, space, areas, figures and size; it can involve lines, angles and all of these clearly need to be of the utmost accuracy and created with precision. Geometry has almost a language of its own, with various symbols and shape-names, and angles and like with any subject, you need to learn these in order to be thorough and precise.

  1. Ensure you have the right equipment for your homework and that you know how to correctly use it – check with your school, college or university what they expect you to have. This could include basic items such as a protractor, a ruler, pencil, compass, and a triangle. You can often pick these items up fairly inexpensively from most stationery shops.

  2. Have a solid understanding of relevant theorems – ensure that you have learned and understood Circle Theorems (eg, an angle inscribed in a semi-circle is always a right-angle; and a tangent angle too, will form a right-angle with the circle’s radius etc); Pythagoras’ Theorem to find the length of sides on a triangle (a2 + b2 = c2 ); Pi (3.14159265). Euler’s Theorem (for polyhedrons that do not intersect themselves add the number of faces to the number of vertices (corner points), then subtract the number of edges, this will always equal 2. [F + V - E = 2]. It could be useful to keep a glossary of terms and theorems (or flash-cards) so that you can easily refer to these throughout your work.

  3. Read the question and guidance for completing carefully. If your question is complex and has several sections, break this down into smaller easier to tackle parts. Make sure you fully understand what the question is asking you, if you’re unsure check with a tutor or fellow students. Ensure your answers are concise, correct and precise – this could be in relation to explanations, algorithms, or analysis. If the guidance suggests your response should be approximately 6 lines long, stick to this. Use the font type and size the guidance suggests. Ensure that if you’re referring to ‘code’ or ‘proof’ that this is accurately referenced. Show your solutions.

  4. Double-check your work– and ask a fellow student or friend/family member to read through it too, checking for any errors, it’s possible they can spot errors that you may have missed. They can use the equipment to make sure that your lines and angles are accurate.

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