Y. Davis Geometry Notes Chapter 11.

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Presentation transcript:

Y. Davis Geometry Notes Chapter 11

Postulate 11.1 Area Addition Postulate The area of a region is the sum of the areas of its non-overlapping parts

Area of a Parallelogram A=bh

Postulate 11.2 Area Congruence Postulate If 2 figures are congruent, then they have the same area.

Area of a Triangle A=½bh

Area of a Trapezoid A=½(b2+b1)h

Area of Rhombus or Kite A=½d1d2

Area of Circle A=πr²

Sector of a circle A region of a circle bounded by a central angle and its intercepted arc.

Area of Sectors

Center A Central Angle Radius Apothem

Central Angle The measure of a central angle is 360 divided by the number of sides

Area of Regular Polygon A=½aP

Composite Figures A figure that can be separated into regions that are basic figures.

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.