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angle
The union of 2 non-collinear rays with a common endpoint.
adjacent angles
Coplanar angles with a common vertex and a common side but no common interior points.
vertical angles
Two non-adjacent angles formed by two intersecting lines.
congruent angles
Angles that have the same measure.
right angle
An angle that measures exactly 90 degrees.
acute angle
An angle that measures less than 90 degrees.
obtuse angle
An angle that measures more than 90 degrees but less than 180 degrees.
complementary angles
Two angles whose measures add up to 90 degrees.
supplementary angles
Two angles whose measures add up to 180 degrees.
angle bisector
A ray that divides an angle into two congruent angles.
linear pair
A pair of adjacent angles whose non-common sides form a straight line.
parallel lines
Coplanar lines that do not intersect.
skew lines
Non-coplanar lines that do not intersect.
transversal
A line that intersects two or more lines at different points.
corresponding angles postulate
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
alternate interior angles theorem
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
alternate exterior angles theorem
If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
same-side interior angles theorem
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
median of a triangle
A segment joining a vertex to the midpoint of the opposite side.
centroid
The point of concurrency of the medians of a triangle.
altitude of a triangle
A perpendicular segment from a vertex to the line containing the opposite side.
orthocenter
The point of concurrency of the altitudes of a triangle.
angle bisector of a triangle
A segment that bisects an angle of the triangle and has one endpoint at a vertex and the other endpoint on the opposite side.
incenter
The point of concurrency of the angle bisectors of a triangle.
perpendicular bisector
A line, segment, or ray that is perpendicular to a segment at its midpoint.
circumcenter
The point of concurrency of the perpendicular bisectors of a triangle.
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