Euclidean Geometry
Line and Angle Relationships
Undefined Geometric
Terms
A point, line, ray
Examples
Defined Terms
Collinear: Three or more points that lie on the same line.
Non-Collinear; Three or more points that do not lie on the same line
Angle: The union of two rays that meet at a common endpoint called the vertex.
An angle with vertex A
Representations of rays, lines, and segments
|
Object |
Drawing |
Representation |
|
Point
|
|
A |
|
Line Segment
|
|
|
|
Line
|
|
|
|
Ray
|
|
|
|
Angle
|
|
|
Types Angles
Obtuse Angle: Angle whose measure is greater that 90 degrees
Right Angle: An angle whose measure is 90 degrees.
Straight Angle: An angle whose measure is 180 degrees.
Acute Angle: An angle whose measure is less than 90 degrees.
Parallel Lines are lines that do not intersect and lie in the same plane.
1. A
straight line segment can be drawn joining any two
points.
2.
Any straight line segment can be extended indefinitely
in a straight line.
3. A
circle can be described with any center and any radius.
4.
All right angles are congruent.
5. Given
a line and a point not on that line, there is one and only one line through the
point that is parallel to given line
Definition: Perpendicular lines meet to form a right angle.
Theorem: From a point not on a given line, there is exactly one line perpendicular to the given line.
Examples
1) Draw A-X-B (
2) List the all ways to name 
,
,and
3) Draw line a and line b, where c is perpendicular to both a and b.
4) Draw
5) Right
angle 
with 
