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Y. Davis Geometry Notes Chapter 11
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Postulate 11.1 Area Addition Postulate
The area of a region is the sum of the areas of its non-overlapping parts
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Area of a Parallelogram
A=bh
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Postulate 11.2 Area Congruence Postulate
If 2 figures are congruent, then they have the same area.
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Area of a Triangle A=½bh
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Area of a Trapezoid A=½(b2+b1)h
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Area of Rhombus or Kite A=½d1d2
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Area of Circle A=πr²
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Sector of a circle A region of a circle bounded by a central angle and its intercepted arc.
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Area of Sectors
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Center A Central Angle Radius Apothem
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Central Angle The measure of a central angle is 360 divided by the number of sides
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Area of Regular Polygon
A=½aP
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Composite Figures A figure that can be separated into regions that are basic figures.
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Theorem 11.1 Area of similar polygons
If 2 polygons are similar, then their areas are proportional to the square of the scale factor between them.
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