Term | Definition |
Angle | consists of two different rays with the same endpoint. The rays are the sides of the angle, and the endpoint is the vertex of the angle. |
Sides of the angle | ray where a measurement of an angle starts |
Vertex of the angle | on a polygon vertices are where adjacent meet, |
Protracter postulate | |
Measure of an angle | consider OB and a point A on one side of OB. the rays of the form OA can be matched one to one with the real numbers from 0 to 180. the measure of <AOB is equal to the absolute value of the difference between the real numbers. |
Acute angle | a triangle with three acute angles |
right angle | a triangle with one right angle |
obtuse angle | an angle with measure between 90 and 180 degrees |
Straight angle | an angle with a measure that is equal to 180 degrees |
angle addition postulate | |
congruent angle | angles that have the same measure |
angle bisector | a ray that divides an angle into two angles that are congruent |
construction | a geometric drawing that uses a limited set of tools, usually a compass and straightedge |
complementary angle | two angles whose measures have the sum of 90 degrees. the sum of the measures of an angle and its complement is 90 degrees |
supplementary angle | two angles whose measures have the sum 180 degrees. the sum of the measures of an angle and its supplement is 180 degrees. |
adjacent angle | two angles that share a common vertex and side, but have no common interior points. |
linear pairs | two adjacent angles whose non common sides are opposite rays |
vertical angles | two angles whose sides form two pairs of opposite. |
polygon | a closed plane figure with the following properties.(1) it is formed by three or more line segments called sides.(2) each side intersects exactly two sides, one at each endpoint, so that two sides with a common endpoint are collinear. |
sides of a polygon | each lne sement that forms a polygon |
vertex of a polygon | each endpoint of a side of a polygon |
convex | a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. a polygon that is not convex is nonconvex or concave |
concave | a polygon that is not convex |
equilateral | a polygon with all its sides congruent |
equiangular | a polygon with all of its interior angles congruent |
regular polygon | a polygon that has all sides and all angles congruent |
formula for a perimeter of a square | the distance on the outside of a square |
formula for area of a square | Area= a x a ( a squared) |
formula for perimeter of a rectangle | Total distance on the outside of a triangle |
formula for area of a rectangle | Area= w x h |
formula for area of a triangle | Area= 1/2 x b x h |
formula for circumference of a circle | Area= 2 x pi x radius= pi x diameter |
formula for area of a circle | Area= pi x radius x radius ( radius squared ) |