POINTS, LINES, PLANES, AND ANGLES, Study notes of Geometry

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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:

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 C B

Opposite Rays – 2 rays that have a

---

and go in ________________

directions.

A C E B D

List some pairs of opposite rays.

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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

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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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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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