“Geometry is nothing at all, if not a branch of art”
Firstly we’ll look at the basic shapes. These are the shapes that you have seen many times (Square, Rectangle…) and maybe some you haven’t seen (Kite, Trapezium).
We can split these shapes up into three basic categories, quadrilaterals (shapes with four sides), parallelograms (quadrilaterals with opposite sides parallel) and non-quadrilaterals. Remember, a parallelogram is a type of quadrilateral.
Area and Perimeter
Two important elements of basic shapes are the Area and Perimeter
Surface Area and Volume
So far we’ve only been working in two dimensions. However, we live in a 3-dimensional world, and so we have 3 dimensional shapes, including the cube, rectangular prism, triangular prism, sphere, cone, pyramid, and cylinder. To understand these shapes, we’ll look at 2 key concepts, Volume and Surface Area.
There are 6 main types of angles which you’ll cover in school.
Types of Triangles
Triangles are a fundamental aspect of geometry, and so in this section, we’ll dissect the 4 different types of triangle.
Some More Terminology
Two ideas which are important in understanding geometry are Complementary Angles and Supplementary Angles.
Parallel and Perpendicular Lines
Some of you may already be familiar with the concepts of parallel and perpendicular lines, but if this is new territory for you, here’s a quick explanation.
Congruent and Similar Triangles
The next step of our journey into the world of Geometry is congruence and similarity. Note that these terms refer to a comparison between TWO triangles, to say a single triangle is congruent or similar is nonsensical.
The Big One … Pythagoras
“It is the glory of geometry, that from so few principles, it is able to accomplish so much” – Isaac Newton.
Basics of Trigonometry
The last stop on our journey into Geometry is the basic trigonometric ratios, Sine, Cosine, and Tangent, which are commonly abbreviated to Sin, Cos, and Tan.
Like Pythagoras’ Theorem, we’ll only look at Sin, Cos, and Tan on right-angled triangles. Now let’s let an angle (not the right angle) be x.
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