Classification of Angles and Line Segments

Geometry

branch of math that examines properties of points, lines, planes, and solids

Point

no size, length, width, or height.

Line

set of infinite length of points with no width or height.

Plane

set of points with infinite length and width, but no height. Need 3 points to form a plane.

Line segment

all the points in a straight path between two points with a fixed length

Ray

part of a line that contains an endpoint and all points extending in one direction

Colinnear

points on the same line

Coplaner

points on the same plane

Midpoint/bisector

Divides into two congruent segments

Angle

figure formed by 2 rays or lines that share common endpoint

Acute angle

angle whose measure is 0

Right angle

angle whose measure is 90 degrees

Obtuse angle

angle whose measure is greater than 90 but less than 180 degrees

Straight angle

angle whose measure is 180 degrees

Complementary angles

2 angles whose sum is 90 degrees

Supplementary angles

2 angles whose sum is 180 degrees

Parallel lines

2 lines who are coplanar and do not intersect

Perpendicular lines

2 lines that intersect to form right angles

Transversal

a line that passes through 2 lines on the same plane on 2 distinct points

Corresponding angles

pairs of angles formed on the same side of a transversal line intersecting with 2 parallel lines that correspond with position. Are equal.

Alternate interior angles

pairs of angles formed on alternate interiors of a transversal line intersecting 2 parallel lines. Are equal.

Alternate exterior angles

pairs of angles formed on the alternate exterior of a transversal line intersecting 2 parallel lines. Are equal.

Vertical angles

non

Linear Pair

Pair of adjacent, supplementary angles.