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Tools of Geometry

Tools of Geometry Vocab Terms

TermDefinition
Line Collection of points that extends to infinity in 2 directions / Name with 2 letters.
Plane Two dimensional surface that extends in all directions to infinity. Name with 3 letters.
Space The set of all points in three dimensions.
Collinear Points that lie on the same line.
Coplanar Points that lie on the same plane.
Ray A part of a line, with one endpoint, that continues without end in one direction. Half a line.
Segment A part of a line between two endpoints.
Congruent Having the same measure.
Midpoint A point that divides a segment into two congruent segments.
Angle A figure formed by two rays with a common endpoint. The endpoint is called the vertex.
Vertex The common endpoint of an angle
Acute Angle less than 90 degrees
Obtuse Angle greater than 90 degrees
Right Angle Angle that is 90 degrees
Straight Angle Angle that is 180 degrees
Angle Bisector A ray that cuts and angle in half
Segment bisector A point / line / plane that cuts a segment in half
Opposite Rays Two rays that have a common endpoint and form a line
Vertical Angles A pair of opposite congruent angles formed by intersecting lines
Complimentary Angles Two angles that add up to 90 degrees
Supplementary Angles Two angles whose sum is 180 degrees
Adjacent Angles Two angles that share a common side and have the same vertex. Angles next to each other.
Linear Pair Angles that share a common side and add up to 180 degrees.
Skew Lines that are in different planes and never intersect.
Transversal Line A line that intersects two or more lines
Corresponding Angles Lie on the same side of the transversal and in the same positions / congruent when the two lines are parallel
Alternate Interior Angles Interior angles of 2 lines and on opposite sides of a transversal / congruent when the two lines are parallel.
Alternate Exterior Angles Outside angles of a pair of lines and different sides of the transversal / congruent when the two lines are parallel
Same Side Interior Angles Interior angles that lie on the same side of the transversal, they are supplementary when the two lines are parallel.
Same Side Exterior Angles Two exterior angles on the same side of the transversal, they are supplementary when the two lines are parallel.
Triangle Sum Theorem All angle in a triangle add up to 180 degrees
Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Isosceles Triangle Theorem If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent (base angles)
Equiangular-Equilateral Triangle Theorem All sides and angles in a triangle are congruent. Since the angles add up to 180 degrees, all angles are 60 degrees.
Created by: wenzelj
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