Ch 1 Vocabulary - McGraw-Hill

Acute angle

• the distance around a circle
• an angle with a degree measure less than 90
• a pair of adjacent angles whose noncommon sides are opposite rays
• 2. each side intersects exactly two other sides, but only at their endpoitns called the vertices
• the intersection of 2 noncollinear rays at a common endpoint. the rays are called sides and the common endpoint is called the vertex

adjacent angle

• A line segment where two faces of the polyhedron meet
• two angles that lie in the same plane, have a common vertex and a common side, but no common interior points
• polygon for which there is no line that contains both a side of the polygon and a point in the interior of the polygon
• a basic undefined term of geometry. if is a flat surface made up of points that has no depth and extends indefinitely in all directions. in a figure, they are represented by a shaded, slanted four-sided figure. it is usually named by a capital script letter or by three noncollinear points on it
• the size of something as given by the distance around it

angle

• a closed figure formed by a finite number of coplanar segments called sides such that the following conditions are met:
• two angles whose measures have a sum of 90 degrees
• a solid with a circular base, a vertex not contained in the same plane as the base, and a lateral surface area composed of all points in the segments connecting the vertex to the edge of the base
• the intersection of 2 noncollinear rays at a common endpoint. the rays are called sides and the common endpoint is called the vertex
• a basic undefined term of geometry. it is made up of points and has no thickness or width. in a figure, it is shown with an arrowhead at each end. they are usually named by lowercase script letters for two points on the line, with a double arrow over the pair of letters

angle bisector

• a point that does not lie on the angle itself and it lies on a segment with endpoints that are on the sides of the angle
• the length of the segment between two points
• points that lie on the same plane
• the distance around a circle
• a ray that divides an angle into two congruent angles

area

• two angles that lie in the same plane, have a common vertex and a common side, but no common interior points
• the number of square units needed to cover a surface
• The common endpoint of the rays of an angle
• two noncollinear rays that form the angle.
• A flat surface of the polyhedron, a polygon.

base (of a polyhedron)

• An angle that measures more than 90 degrees but less than 180 degrees
• The face or pair of faces from which the height of the polyhedron is measured. Its number of sides determines the name of the polyhedron.
• A point that is common to 2 sides of a polygon
• 2 nonadjacent angles formed by two intersecting lines
• a point that does not lie on the angle itself and it lies on a segment with endpoints that are on the sides of the angle

Between

• a method of creating geometric figures without the benefit of measuring tools. Generally, only a pencil, straightedge, and compass are used
• the size of something as given by the distance around it
• for any two points A and B on a line, there is another point C between A and B if and only if A, B, and C are collinear and AC + CB = AB
• a polygon in which all sides are congruent
• two angles whose measures have a sum of 180 degrees

circumference

• a convex polygon in which all of the sides are congruent and all of the angles are congruent
• the distance around a circle
• the number of square units needed to cover a surface
• A basic figure that is not defined in terms of other figures. The undefined terms in geometry are point, line, and plane.
• a segment, ray, line, or plane that intersects a segment at its midpoint

collinear

• a closed figure formed by a finite number of coplanar segments called sides such that the following conditions are met:
• two angles whose measures have a sum of 90 degrees
• A basic figure that is not defined in terms of other figures. The undefined terms in geometry are point, line, and plane.
• a polygon with n sides
• points that lie on the same line

complementary angles

• a polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex
• a polygon whose angles are all congruent
• two angles whose measures have a sum of 90 degrees
• points that lie on the same line
• 1. the sides have a common endpoint and are noncolliner