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Terms in this set (34)
A point specifies only location; it has no length, width, or depth. We usually represent a point with a dot on paper, but the dot we make has some dimension, while a true point has dimension 0.
A line has only one dimension: length. It continues forever in two directions (so it has infinite length), but it has no width at all. A line connects two points via the shortest path, and then continues on in both directions.
A plane is a flat, two-dimensional object. We often represent a plane by a piece of paper, a blackboard, or the top of a desk. In fact, none of these is actually a plane, because a plane must continue infinitely in all directions and have no thickness at all. A plane can be defined by two intersecting lines or by three non-collinear points.
Points if they lie on the same line.
Points if they do not lie on the same line.
Points if they lie on the same plane.
Points if they do not lie on the same plane.
The boundless three-dimensional extent in which objects and events have relative position and direction.
A part of a line that has two distinct end-points and continues for a distinct distance.
Betweenness of Points
A point is between two other points on the same line IFF its coordinate is between their coordinates.
Segment Addition Postulate
A property that states that segments of a line can be added together to form the whole line.
Segments that have the same length.
A segment, line, or plane that bisects a segment at the midpoint and divides the segment into two even parts.
The middle point of a line segment. Splits the segment into two equal halves.
Distance Between Two Points
How far apart two points are from each other.
Part of a line, has one fixed endpoint, and extends infinitely along the line from the endpoint.
Rays with a common endpoint, extending in opposite directions and forming a line.
The figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Only have to have the same measure of angle.
Angle Addition Postulate
States that if point Z lies in the interior of ∠ABC, then ∠ABZ + ∠CBZ = ∠ABC.
The lines/rays/segments that form an angle.
The point on an angle where the two lines/rays/segments meet.
The area between two sides of an angle where it is less than 180º.
The area between two sides of an angle where it is great than 180º.
Any angle that measures 90º.
Any angle that measures <90º.
Any angle that measures >90º.
A line or ray that evenly divides an angle in half.
Two angles that have a common vertex and a common side.
Both of the pairs of opposite angles made by two intersecting lines. (X)
Any pair of angles that share one side and add up to 180º
Any two angles whose measures have a sum of 90º.
Any two angles whose measure have a sum of 180º.
Two lines that intersect to make a right angle.
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