Archive for the ‘Geometry’ Category
Friday, November 13th, 2009
An Overview of Composite Figures
Description
A detailed tutorial on what composite figures are. Step by step tutorial including several examples of how to identify composite figures for reference.
Overview
A composite figure is any figure that can be split into more than one shape. Hardly any regular shapes are considered to be composite shapes. The only one is a regular trapezoid – it can be split into three shapes, two triangles and a rectangle. You could technically consider a rectangle to be a composite figure – you can split it into squares or smaller rectangles – but since it doesn’t need to be split into different shapes to solve for area, then it is not considered a composite figure.
Tags: 2D, area, composite, different, figure, flat, geometrical, Geometry, rectangle, regular, shape, smaller, split, square, trapezoid, triangle, volume
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Friday, November 13th, 2009
Overview of Polyhedrons
Description
A detailed tutorial on polyhedrons. Step by step tutorial including several examples and a visual example of polyhedrons for reference.
Overview
Mathematicians have not yet decided what truely makes something a polyhedron, but in general they are accepted to be some 3D geometrical figure that has sides or faces, and usually at least one base. There are regular polyhedrons, which have all the same polygon making up their faces, and irregular polyhedrons – which are actually more common – where there are 2 or more shapes in them.
Tags: base, common, decagon, face, figure, geometrical, Geometry, hexagon, irregular, pentagon, polygon, polyhedron, regular, shape, side, square, triangle
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Thursday, November 12th, 2009
How to Identify Pythagorean Triples
Description
A detailed tutorial on Pythagorean triples. Step by step tutorial including several examples of Pythagorean triples for reference.
Overview
A Pythagorean triple is a set of three numbers that make up a right triangle. They are the measure of the sides, not the measure of the angles. This you should know by looking at the name. The Pythagorean theorem deals with only the sides of the right triangle, so Pythagorean triples should also only deal with the sides of a right triangle. All the numbers must be integers, and they must be positive. They are written rather like coordinates are, in a (a, b, c) pattern. A common example is is (3, 4, 5). From any triple, any other triple can be found. If (a, b, c) is a triple, then (ka, kb, kc) also must be a triple, according to the rule of similar triangles.
Tags: angles, Geometry, integer, measure, multiple, number, positive, pythagorean, right, sides, similar, theorem, three, triangle, triples
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Thursday, November 12th, 2009
How to Identify Fractals
Description
A detailed tutorial on fractals. Step by step tutorial including several examples and a helpful visual example of fractals for reference.
Overview
A fractal is a geometric shape that can easily be split into parts. Each part is really just a small version of the whole. Fractals are often very rough or fractured looking shapes, which is how they got their name. The common features of a fractal is that it has a fine structure at small scales, it is an irregular shape, it is self-similar, and it has a recursive definition as well as a simple one. One of the most famous and well-known fractals is the Mandelbrot set.
Tags: fine, fractal, fractured, Geometry, irregular, Mandelbrot, parts, resursive, rough, scale, self, self-similar, shape, similar, simple, small, structure, version
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Thursday, November 12th, 2009
How to Find an Angle Bisector
Description
A detailed tutorial on how to find an angle bisector. Step by step tutorial including several examples on how to find angle bisectors for reference.
Overview
The bisector of an angle is the straight line or line segment that runs right down the center of the angle, splitting in into two rays and creating two angles, that are each half of the measure of the original angle. The bisector is always on the interior of an angle, and because of this it is sometimes called the internal angle bisector. Bisectors can be used with many things, but it is most common to find them used with angles, which is why other bisectors are simply called bisectors, while these are given the name of angle bisectors.
Tags: angle, bisector, center, Geometry, half, interior, internal, line, measure, original, ray, segment
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Tuesday, November 10th, 2009
Identifying Convex Polygons
Description
A detailed tutorial on identifying convex polygons. Step by step tutorial including several examples of how to identify convex polygons for reference.
Overview
Convex polygons are polygons that seem to curve inwards. They may appear rather big compared to concave polygons. The best way to identify a convex polygon is to check for a reflex angle. A reflex angle looks like an obtuse angle, or an arrow cutting into the figure. Concave polygons have reflex angles, convex polygons don’t. All regular polygons are considered convex polygons.
Tags: angle, big, convex, curve, Geometry, obtuse, out, polygon, reflex, regular
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Tuesday, November 10th, 2009
Identifying Concave Polygons
Description
A detailed tutorial on identifying concave polygons. Step by step tutorial including several examples of how to identify concave polygons for reference.
Overview
Concave polygons are polygons that seem to curve inwards. They may appear rather small compared to convex polygons. The best way to identify a concave polygon is to check for a reflex angle. A reflex angle looks like an obtuse angle, or an arrow cutting into the figure. Concave polygons have reflex angles, convex polygons don’t.
Tags: angle, arrow, concave, curve, Geometry, in, obtuse, polygon, reflex, small
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Tuesday, November 10th, 2009
How to Identify Decagons
Description
A detailed tutorial on how to identify decagons. Step by step tutorial including several examples of identifying decagons for reference.
Overview
A decagon is any polygon that has ten sides. Decagons can either be regular or irregular. Regular decagons are close to the shape of a circle with 10 straight edges. Irregular decagons are any other shape that has ten sides, provided that it is still considered a polygon.
Tags: 10, decagon, Geometry, irregular, polygon, regular, shape, sides, ten
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Tuesday, November 10th, 2009
How to Identify Nonagons
Description
A detailed tutorial on how to identify nonagons. Step by step tutorial including several examples of identifying nonagons for reference.
Overview
A nonagon is any polygon that has nine sides. Nonagons can either be regular or irregular. Regular nonagons are close to the shape of a circle with 9 straight edges. Irregular nonagons are any other shape that has nine sides, provided that it is still considered a polygon.
Tags: 9, Geometry, irregular, nine, nonagon, polygon, regular, shape, sides
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Tuesday, November 10th, 2009
How to Identify Octagons
Description
A detailed tutorial on how to identify octagons. Step by step tutorial including several examples of identifying octagons for reference.
Overview
An octagon is any polygon that has eight sides. Octagons can either be regular or irregular. Regular octagons are close to the shape of a circle with 8 straight edges. Irregular octagons are any other shape that has eight sides, provided that it is still considered a polygon.
Tags: 8, eight, Geometry, irregular, octagon, polygon, regular, shape, sides
Posted in Geometry | No Comments »
