EXTERIOR ANGLE PROTERTY






 

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CONGRUENT TRIANGLE

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  CONGRUENT TRIANGLE CONGRUENT FIGURES:                                                             Congruent figures are exactly the same in size and shapes. In other words, shapes are congruent if one fits exactly over the other. EXAMPLE: CONGRUENT TRIANGLE: Determining congruence Sufficient evidence for congruence between two triangles in  Euclidean space  can be shown through the following comparisons: SAS  (side-angle-side): If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent. SSS  (side-side-side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA  (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are e...
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Fibonacci Sequence

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  Fibonacci Sequence The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... The next number is found by adding up the two numbers before it: the 2 is found by adding the two numbers before it (1+1), the 3 is found by adding the two numbers before it (1+2), the 5 is (2+3), and so on! Example: the next number in the sequence above is 21+34 =   55 It is that simple! Here is a longer list: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, ... Makes A Spiral When we make squares with those widths, we get a nice spiral: Do you see how the squares fit neatly together? For example 5 and 8 make 13, 8 and 13 make 21, and so on. This spiral is found in nature! See:  Nature, The Golden Ratio, and Fibonacci The Rule The Fibonacci Sequence can be written as a "Rule" (see  Sequences and Series ). First, the terms are numbered from 0 onwards like this: n ...
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RIGHT CIRCULAR CYLINDER

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