Download Name Plane Geometry 1.2 – 1.5 Guided Notes Word Definition

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Transcript
Name ______________________________
Plane Geometry
1.2 – 1.5 Guided Notes
Word
Definition
Example
A location with no size that is
represented by a small dot and
named with a capital letter.
The set of all points.
1
Point
2
Space
A series of points that extends in
two opposite directions without
end.
Points that lie on the same line.
3
Line
4
Collinear
A flat surface with no thickness.
5
Plane
Points and lines in the same plane.
6
Coplanar
Part of a line that consists of a
starting point and an ending point.
7
Line Segment
Part of a line consisting of one
endpoint and all the points to one
side.
Two collinear rays with the same
endpoint.
8
Ray
9
Coplanar lines that do not intersect.
10
Parallel Lines
Lines on different planes that are
not parallel and never touch.
11
Skew Lines
Planes that do not intersect.
12
Parallel Planes
13. Two planes intersect at a line. For example, ___________________________________.
14. Two lines intersect at a point. For example, ____________________________________.
Use the following pictures and information to fill in the examples above.
F
J
E
A
B
C
I
D
L
L
H
G
K
|a – b|
15
Distance of AB
16
AB + BC = AC
Segment Addition Postulate
17
A point that divides a segment into
two congruent segments.
Midpoint
18
Formed by two rays with the same
endpoint, sharing a common
“vertex.” Name by vertex or 3
points with vertex in middle.
AVB + BVC = AVC
Angle
19
Angle Addition Postulate
20
Segments or angles with the same
measure, denoted with tick marks.
Congruent
21
Perpendicular Lines
22
Two lines that intersect to form
right angles (90 degrees).
A line, segment, or ray that is
perpendicular to the segment and
divides it into two congruent parts.
A ray that divides an angle into
two smaller congruent angles.
Right Angle
23
Angle Bisector
Use the following pictures and information to fill in the example column above.
15.
Find AB
16.
If AC = 40, find x.
B
C
A
B
C
A
Find BC
3x + 29
2x – 4
-3
-1
2
Find AC
17.
If B is the midpoint of AC, find x.
A
B
C
2x – 1
20.
A
18, 19, 21
A
x+9
22.
B
A
V
C
B
C
V
D
23. If ray VB is a bisector of angle AVC, find x, AVB, and BVC.
A
B
x+4
V
B
C
C