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Published byBrianne Preston Modified over 9 years ago
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Polygons and Area
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Section 10-1
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A polygon that is both equilateral and equiangular
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If all of the diagonals lie in the interior of the figure, then the polygon is convex.
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If any point of a diagonal lies outside of the figure, then the polygon is concave.
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Section 10-2
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If a convex polygon has n sides, then the sum of the measures of its interior angles is (n-2)180
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In any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360.
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Section 10-3
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For any polygon and a given unit of measure, there is a unique number A called the measure of the area of the polygon
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Congruent polygons have equal areas
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The area of a given polygon equals the sum of the areas of the nonoverlapping polygons that form the given polygon.
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Section 10-4
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If a triangle has an area of A square units, a base of b units, and a corresponding altitude of h units, then A = ½ bh
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If a trapezoid has an area of A square units, bases of b 1 and b 2 units, and an altitude of h units, then A = ½ h(b 1 +b 2 )
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Section 10-5
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A point in the interior of a regular polygon that is equidistant from all vertices
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A segment that is drawn from the center that is perpendicular to a side of the regular polygon
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If a regular polygon has an area of A square units, and apothem of a units, and a perimeter of P units, then A = ½ aP
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All digits that are not zeros and any zero that is between two significant digits Significant digits represent the precision of a measurement
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Section 10-6
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If you can draw a line down the middle of a figure and each half is a mirror image of the other, it has symmetry
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If you can draw this line, the figure is said to have line symmetry The line itself is called the line of symmetry
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If a figure can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position, it has rotational or turn symmetry
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Section 10-7
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A tiled pattern formed by repeating figures to fill a plane without gaps or overlaps
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When one type of regular polygon is used to form a pattern
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If two or more regular polygons are used in the same order at every vertex
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