Honors Geometry Chapter 11

Perimeter

________- the sum of all sides of a polygon.

Isosceles

________ trapezoid- trapezoid where the two sides that ARE NOT the bases are congruent; the diagonals are also congruent.

Kite

________- a quadrilateral with exactly 2 pairs of consecutive congruent sides.

Trapezoid

________- quadrilateral with only one set of parallel sides.

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