Honors Geometry Chapter 11

area of a parallelogram - A = bh

parallelogram - quadrilateral with both sets of opposite sides parallel

perimeter - the sum of all sides of a polygon

area of a triangle - A = 1/2(bh)

area of a trapezoid - A = 1/2 (b₁+ b₂) h

trapezoid - quadrilateral with only one set of parallel sides

rhombus - a parallelogram with all 4 sides congruent

kite - a quadrilateral with ==exactly== 2 pairs of consecutive congruent sides

the difference between a rhombus and a kite - a rhombus has all 4 congruent sides, a kite has 2 pairs of consecutive congruent sides

area of a rhombus/kite - 1/2 (d₁ × d₂)

[isosceles]() trapezoid - trapezoid where the two sides that ARE NOT the bases are congruent; the diagonals are also congruent

sum of areas postulate - if a figure is composed of non-overlapping regions, then the area of the figure is the sum of the areas of the regions

radius - distance between a given point in the center of a circle and any given point on the circle

circumference - C = 2π r OR C = π d

area of a circle - A = π r²

sector - a given portion of a circle

Area of a sector of a circle - A = x/360 × π r²

Regular polygons - polygons with all congruent side and angle measures

Area of regular polygons - 1/2 (apothem) (perimeter)

apothem - a segment in a regular polygon from the center perpendicular to a side of the polygon

finding the area of a regular hexagon - each side of the hexagon is a side of an equilateral, which can be divided into 2 30-60-90 triangles, allowing you to use that to find the sides and the area

composite figure - a figure that can be separated into regions that are basic figures

area of composite figures - add the areas of the individual figures

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