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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LINE

A B

l

COLLINEAR POINTS –

NONCOLLINEAR POINTS -

A BC D

E

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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

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geometry - neshaminy school district...1 - 2 points, lines, and planes 3 undefined terms in...

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