Author: admin
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Tessellations in geometry
A couple of examples of tessellations in geometry are shown below. Basically, whenever you place a polygon together repeatedly without any gaps or overlaps, the resulting figure is a tessellation. A tessellation is also called tiling. Of course, tiles in your house is a real-life example of tessellation. Tessellation with rectangles Tessellation with equilateral triangles…
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Straightedge and Compass
We can use a straightedge and compass to construct geometric figures, such as angles, triangles, regular n-gon, and others. In this case, measuring instruments such as a ruler and a protractor are not permitted. A ruler can be used if and only if its markings are not used. Below, find a variety of important constructions…
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Common geometry formulas
Here, we provide you with common geometry formulas for some basic shapes Rectangle: Perimeter = l + l + w + w = 2 × l + 2 × w Area = l × w Square: Perimeter = s + s + s + s = 4 × s Area = s2 Parallelogram: Perimeter =…
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How to Find an Endpoint
Learn how to find an endpoint using the midpoint of a segment with a couple of good examples. Example #1: The midpoint of a segment is M(2, 3). One endpoint is A(-2, -1). Find the other coordinates of the other endpoint B. Use the midpoint formula M[(x1 + x2)/2, (y1 + y2)/2] and let the coordinates of B be…
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Midpoint of a line segment
To find the midpoint of a line segment on the coordinate system, simply take the average of the x-coordinates and the average of the y-coordinates. Let (x1 , y1) and (x2 , y2) represent the endpoints of a line segment. Therefore, the formula to get the midpoint is: [(x1 + x2) ÷ 2 , (y1 + y2) ÷ 2]…
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Centroid of a triangle
The centroid of a triangle is the point where the three medians of a triangle meet or intersect. An illustration of the centroid is shown below. In the above graph, we call each line (in blue) a median of the triangle. The median is the line that starts from a vertex and goes to the…
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Formula for distance
Given two points (x1, y1), (x2, y2) the formula for distance is calculated with the following formula. __________________ Distance = √ (x1 – x2)2 + (y1 – y2)2 Example #1: Use the distance formula to find the distance between (2,3) and (6,6) Let (x1, y1) = (2,3) Let (x2, y2) = (6,6) ________________ Distance = √…
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Pythagorean Theorem calculator
The Pythagorean theorem calculator will help you solve Pythagorean problems with ease. Note that the triangle below is only a representation of a triangle. Your triangle may have a different shape or a different size, but it has to be a right triangle. a = b = c = Guidelines to follow when using the…
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Special right triangles
There are two types of special right triangles. The first type is the 45°– 45°– 90° triangle and the second type is the 30°– 60°– 90° triangle. The 45°– 45°– 90° triangle is an isosceles right triangle and the 30°– 60°– 90° triangle is a scalene right triangle. The 450 – 450 – 900 triangle: In this triangle, the important thing to remember is that the legs have equal length.…
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Pythagorean Triples
Pythagorean triples, also called Pythagorean triplets, are sets of three whole numbers a,b, and c bigger than zero such that a2 + b2 = c2 The numbers a, b, and c are put inside parenthesis as (a, b, c) or the triple can be written as a, b, c without parenthesis. Notice that c is listed last…