geometry - neshaminy school district...1 - 2 points, lines, and planes 3 undefined terms in...
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Geometry POINTS, LINES, PLANES,
AND ANGLES
Chapter 1
________________________
NAME
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1-2 Points, Lines, and Planes
3 Undefined terms in Geometry:
1.
2.
3.
POINT
A
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PLANE
A
B
C
M
COPLANAR POINTS –
NONCOPLANAR POINTS -
X Y
Z
D
A LINE CONSISTS OF AT LEAST ______ POINTS.
A PLANE CONSISTS OF AT LEAST ______ POINTS.
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SPACE –
INTERSECTION -
The intersection of 2 lines is a _____________.
The intersection of 2 planes is a ___________.
The intersection of a plane and a line not on that plane is a _____________.
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1.3 Segments, Rays, and Distance
A B
A B
A B
A B
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A BC
Opposite Rays – 2 rays that have a ____________ _______________ and go in ________________ directions.
CA B DEList some pairs of opposite rays.
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H I J K
Length of a segment:
Ruler Postulate:
HI = _____
IJ = _____
JK = _____
HJ = _____
IK = _____
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0
A
-10
B
30
0
A
5
B
25
0
A
-30
B
-5
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Segment Addition Postulate: If B is
between A & C, then AB + BC = _____.
A B C
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Example 1 AC = _____
A B C
4 8
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Example 2 If AC = 16, find x.
A B C
2x X + 7
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Example 3 If AC = 30, find BC.
A B C
3x 4x + 2
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Congruent – objects that have the
same ________ and __________
Congruent Segments – segments that
have __________ ____________
If DE = FG, then .FGDE
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Midpoint of a Segment: the point that
______________ the segment into ____
____ segments
X Y Z
2 2
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Example 4
Given B is the midpoint of ,
AB = 4x, and AC = 32. Find x.
A B C
AC
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Example 5
Given B is the midpoint of ,
Find AC.
AC
A B C
3x + 2 4x + 1
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Bisector of a Segment: a ________,
______________, ______, or
__________ that intersects a segment
at its ________________
A B C A B C
A B C A B C