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Chapter 1 Definitions
Terms in this set (54)
A basic figure that is not defined in terms of other figures. The undefined terms in geometry are point, line, and plane.
An undefined term in geometry, it names a location and has no size.
An undefined term in geometry, a line is a straight path that has no thickness and extends forever.
An undefined term in geometry, it is a flat surface that has no thickness and extends forever.
Points that lie on the same line.
Points that lie in the same plane.
A part of a line consisting of two endpoints and all points between them.
A point at an end of a segment or the starting point of a ray.
A part of a line that starts at an endpoint and extends forever.
Two rays that have a common endpoint and share a line.
A statement that is accepted as true without proof. Also called an axiom.
A number used to identify the location of a point. On a number line, one coordinate is used. On a coordinate plane, two coordinates are used, called the x-coordinate and the y-coordinate. In space, three coordinates are used, called the x-coordinate, the y-coordinate, and the z-coordinate.
distance between two points
The absolute value of the difference of the coordinates of the points.
The distance between the two endpoints of a segment.
Two segments that have the same length.
A method of creating a figure that is considered to be mathematically precise. Figures may be constructed by using a compass and straightedge, geometry software, or paper folding.
Given three points A, B,and C, B is between A and C if and only if all three of the points lie on the same line, and AB + BC = AC.
The point that divides a segment into two congruent segments.
To divide into two congruent parts.
A line, ray, or segment that divides a segment into two congruent segments.
A figure formed by two rays with a common endpoint.
vertex of an angle
The common endpoint of the sides of the angle.
interior of an angle
The set of all points between the sides of an angle.
exterior of an angle
The set of all points outside an angle.
measure of an angle
Angles are measured in degrees. A degree is 1/360 of a complete circle.
A unit of angle measure; one degree is 1/360 of a circle.
An angle that measures greater than 0° and less than 90°.
An angle that measures 90°.
An angle that measures greater than 90° and less than 180°.
A 180° angle.
Angles that have the same measure.
A ray that divides an angle into two congruent angles.
Two angles in the same plane with a common vertex and a common side, but no common interior points.
A pair of adjacent angles whose noncommon sides are opposite rays.
Two angles who have a measure of 90°.
Two angles whose measures have a sum of 180°.
The nonadjacent angles formed by two intersecting lines.
The sum of the side lengths of a closed plane figure.
The number of nonoverlapping unit squares of a given size that will exactly cover the interior of a plane figure.
base of a triangle
Any side of a triangle.
height of a figure
The length of an altitude of the figure.
A segment that has endpoints on the circle and that passes through the center and that passes through the center of the circle; also the length of that segment.
radius of a circle
A segment whose endpoints are the center of a circle and a point on the circle; the distance from the center of a circle to any point on the circle.
The distance around a circle.
The ratio of the circumference of a circle to its diameter, denoted by the Greek letter π (pi). The value of π is irrational, often approximated by 3.14 or 22/7.
A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis.
leg of a right triangle
One of the two sides of the right triangle that form the right angle.
The side opposite the right angle in a right triangle.
A change in the position, size, or shape of a figure or graph.
The original image in a transformation.
A shape that results from a transformation of a figure known as the preimage.
A transformation across a line, called the line of reflection, such that the line of reflection is the perpendicular bisector of each segment joining each point and its image.
A transformation about a point P, also known as the center of rotation, such that each point and its image are the same distance from P. All of the angles with vertex P formed by a point and its image are congruent.
A transformation that shifts or slides every point of a figure or graph the same distance in the same direction.
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