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Name _______________________________________________ Date ________________________________
10R Points, Lines and Planes WS
TERM
DIAGRAM
Period ______________________________
DEFINITION
Point
Indicates a location. Named w/ capital letter
Line
A set of continuous points the extends endlessly in both directions.
Named with a lower case letter or by two points.
Plane
A flat surface with no thickness. Extends indefinitely in all
directions. Formed by three noncollinear points. Could also be
named with a capital letter.
Line Segment
Part of a line consisting of two points. Named with its two
endpoints.
Ray
Part of a line consisting of an endpoint and the set of points on
other side. Named by endpoint then another point on line.
Opposite Ray
Rays that have the same endpoint and lie on the same line.
Collinear Points
Points that are on the same line.
Coplanar Points
Points that are on the same plane.
Angle
Union of two rays that have the same endpoint (vertex). Named
with three points, the vertex, or label interior with a number.
Parallel Lines
Lines that do not intersect and have equal slopes
Skew Lines
Lines that are in different planes that do not intersect, but are NOT
parallel.
Perpendicular Lines
Lines that intersect forming right angles and have negative
reciprocals for slopes
Linear Pair
When the exterior sides of adjacent angles lie on opposite rays.
Midpoint
Divides a segment into two congruent segments.
Bisector
(Angles/Segments)
Divides an angle or segment into two congruent angles or
segments.
Segment/Angle
Addition Postulate
If point X is between points A and B, then AX+XB = AB
If OX is between the sides of <AOB, then
m<AOX+<XOB = m<AOB
Congruent
-Shapes: same size and shape
-Segments: same length
-Angle: same measure
Dimension
-A figure with no dimension cannot be measured (no length)
-A one-dimensional figure has a length.
-A two-dimensional figure has a length and a width
-A three-dimensional figure has a length, width, and height
Intersection of two
lines
1 point
Intersection of two
planes
1 line
Intersection of line
and plane
1 point
Pictures/Theorems come from RegentsPrep.org
(http://www.regentsprep.org/Regents/math/geometry/GG1/Lplanes.htm)
Matching:
Diagrams shown may be used more than once or not at all.
Fact:
Diagram:
_____1. A line perpendicular to each of two
intersecting lines at their point of intersection is
perpendicular to the plane determined by them.
A.
B.
C.
D.
E.
F.
G.
H.
_____2. Through a given point there passes one and
only one plane perpendicular to a given line.
_____3. Two lines perpendicular to the same plane
are coplanar.
_____4. Two planes are perpendicular to each other
if and only if one plane contains a line perpendicular
to the second plane.
_____5. If a line is perpendicular to a plane, then
any line perpendicular to the given line at its point of
intersection with the given plane is in the given
plane.
_____6. If a line is perpendicular to a plane then
every plane containing the line is perpendicular to the
given plane.
_____7. If a plane intersects two parallel planes,
then the intersection is two parallel lines.
_____8. Two planes perpendicular to the same line
are parallel.
_____9. Through a given point there passes one and
only one line perpendicular to a given plane.
These are the 9 FACTS the Regents Exam will test you on!