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Geometry Chapter 1
Mcdougal Littell Vocab.
Question | Answer |
---|---|
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 |