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perimeter

The distance around a geometric figure.

Base (of a polygon)

the length of one side of a polygon

Height (of a polygon)

the length of the altitude of a figure (perpendicular height)

area

the surface; Length x Width

composite figure

a figure made up of two or more figures

Apothem

The perpendicular distance from the center to a side of a regular polygon.

polygon

a closed figure made by joining line segments where each line segment intersects exactly 2 others

regular polygon

a convex polygon in which all sides and angles are congruent

convex

a figure in which all the diagonals are contained inside the polygon

concave

a figure in which at least one diagonal is outside the polygon

pentagon

a 5 sided polygon

hexagon

a 6-sided polygon

heptagon

a 7-sided polygon

octagon

an 8-sided polygon

nonagon

a 9-sided polygon

decagon

a 10-sided polygon

Dodecagon

a 12-sided polygon

n-gon

a polygon with "n" sides

Polyhedra

3-dimentional solids whose faces are polygons are joined at their edges

net

a 2-dimentional pattern that can be folded to make a 3-dimentional solid

Area of a Rectangle Theorem

the product of its base and height

Area of a Parallelogram Theorem

the product of a base and the corresponding height

Area of a Triangle Theorem

half the product of the base and the corresponding height

base of a triangle

any of the sides of a triangle

corresponding height

the length of the altitude to a line containing the stated base

Area of a Trapezoid Theorem

half the product of the height and the sum of the bases

Height of a Trapezoid

the perpendicular distance between the bases

Area of a Rhombus Theorem

half the product of the lengths of the diagonals

Area of a Kite Theorem

half the product of the lengths of the diagonals

radius of a regular polygon

the distance from the center to a vertex

center of the polygon

center of the circumscribed circle of the polygon

Congruent Polygon Theorem

If two figures are congruent,then their areas are equal

Area of a Regular Polygon Theorem

half the product of the apothem and the perimeter

Perimeters and Areas of Similar Figures Theorem

If the scale factor of two similar figures is a ÷ b, then

Area of a Triangle Given SAS Theorem

half the product of the lengths of two sides and the sine of the included angle

Circle

in a plane, the set of all points equidistant from a given point

center of the circle

the point that is equidistant from all the points on the circle in a plane

diameter of a circle

Goes across the circle

radius of a circle

a segment that has one endpoint at the center of a circle and the other endpoint on the same circle

congruent circles

circles with congruent radii

Central Angle

an angle whose vertex is the center of the circle

arc

part of a circle

semicircle

half of a circle

minor arc

smaller than a semicircle; named by its endpoint with an arc symbol over the letters - ⌒

major arc

larger than a semicircle; named by its endpoints and another point between the endpoints on the arc with an arc symbol over the letters - ⌒

minor arc measure

equal to the measure of the corresponding central angle

major arc measure

equal to the difference between 360° and the measure of the related minor arc

adjacent arcs

arcs of the same circle that have exactly one point in common

Arc Addition Postulate

the measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs

Circumference of a Circle

π times the diameter

Circumference

2πr

π

irrational number, pi; the ratio of the circumference of a circle to its diameter

concentric circles

coplanar circles that have the same center

arc length

a fraction of the circumference

Arc Length Theorem

the product of the ratio of the measure of the arc to 360° and the circumference of the circle

Area of a Circle Theorem

the product of π and the square of the radius

Area of a Sector of a Circle Theorem

the product of the ratio of the measure of the arc to 360° and the area of the circle

Sector of a Circle

region bounded by an arc of the circle and the two radii to the arc's endpoints; names using one arc endpoint, the center of the circle, and the other arc endpoint

area of a sector

a fractional part of the area of a circle

segment of a circle

part of a circle bounded by an arc and the segment joining its endpoints

Area of Segment

is equal to the difference of the area of a sector and the area of triangle formed bounded by the segment of the circle and the center of the circle

geometric probability

a ratio that involves geometric measures such as length or area;

geometric probability of an event

P(event) = (number of favorable outcomes) ÷ (number of possible outcomes)