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Geometry Chapter 1

Mcdougal Littell Vocab.

An unproven statement that is based on observations. Conjecture
A process that includes looking for patterns and making conjectures. Inductive reasoning
An example that shows a conjecture is false. counterexample
A point has no dimension. It is usually represented by a small dot. point
A line extends in one dimension. It is usually represented by a straight line with two arrowheads to indicate that the line extends without end in two directions. line
extends in two dimensions. It is usually represented by a shape that looks like a tabletop or wall. You must imagine that the plave extends without end, even though the drawing of a plane appears to have edges. plane
Points that lie on the same line. collinear points
Points that lie on the same plane. coplanar points
All points on the line that are between the endpoints. line segment
Part of a line that consists of two points. endpoints
All points on the line that extend in one direction. ray
Part of a line that consist of a point initial point of a ray
One ray is pointing in one direction and another ray is pointing the opposite direction. opposite rays
To have one or more points in common. intersect
The set of points that two or more geometric figures have in common. intersection
Rules that are accepted without proof. postulates
Rules that are accepted without proof. axioms
The real number that corresponds to a point on a line. coordinate
The absolute value of the difference between the coordinates of the points. distance beteen two points on line
The distance between the endpoints of a segment. length of a segment
When three points lie on a line, you can say that one of them is between the other two. between
distance between A and B in a coordinate plane distance formula
Segments that have the some length. congruent segments
Consists of two different rays that have the same initial point. The rays are the sides of the angle, and the initial point is the vertex of the angle. angle
Rays of an triangle. sides
Initial point of the angle. vertex of an angle
Angles that have the same measure. congruent angles
All points between the points that lie on each side of the angle. interior of an angle
When the sides of a triangle are extended, the angles that are adjacent to the interior angles. exterior of an angle
An angle with a measure between 0 degrees and 90 degrees. acute angle
An angle with measure between 90 degrees and 180 degrees. obtuse angles
An angle with the measure equal to 90 degrees right angle
An angle with measure equal to 180 degrees. straight angles
Two angles with a common vertex and side but no common interior points. adjacent angles
The point that divides, pr bisects, a segment into two congruent segments. midpoint
To divide into two congruent parts. bisect
A segment, ray, line, or place that intersects a segment at its midpoint segment bisector
A construction tool used to draw arcs. compass
A construction tool used to draw segments. A ruler without marks. straightedge
To draw using a limited set of tools, usually a compass and a straightedge. construct
A geometric drawing that uses a limited set of tools, usually a compass and a straightedge. construction
midpoint formula
A ray that divides an angle into two adjacent angles that are congruent. angle bisector
Two angles whose sides form two pairs of opposite rays. vertical angles
Two adjacent angles whose noncommon sides are oppisite rays. linear pair
Two angles whose measures have the sum 90 degrees. complementary angles
The sum of the measures of an angle and its complement is 90 degress. complement of an angle
Two angles whose meeasures have the sum 180 degrees. supplementary angles
The sum of the measure of an angle and its supplement is 180 degrees. supplement of an angle
Created by: dhmahlman