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Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw...

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Chapter 1.1 Chapter 1.1 06/11/22
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Page 1: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Chapter 1.1Chapter 1.1Chapter 1.1Chapter 1.1

04/21/23

Page 2: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Vocabulary point• line• collinear points• plane• compass• straightedge• sketch• draw• construct

• coplanar lines• skew lines• ray• endpoint of a ray• line segment• endpoints of a line segment• congruent line segments

Page 3: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Basic Geometric Figures

♥ Point♥ Line♥ Plane

Undefined terms:

Page 4: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Point• Location shown by dots, can be

endpoints or corners

HOW TO WRITE: ONE Capital Printed letter such as A or X

A

XB

y

M

W X

YZ

Page 5: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Examples of Points

Page 6: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Lines• All points arranged perfectly straight

with no thickness, and has infinite length.

HOW TO WRITE: • two points on the line, with a double-

headed arrow over the two letters.• a single Lowercase Cursive letter.

A

XB

y

M

yt

AM MX XA

Is B on MY?

Page 7: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Examples of Lines

Page 8: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Intersection

• Symbol example: AB CD = X

U U

A

BC

D

X

Page 9: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Book P.4-5

Page 10: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Plane• A plane is a flat surface that extends

infinitely in all directions.HOW TO WRITE:♥ named by three non-collinear points

that lie on the planeOr♥ It can be named by one Cursive Capital

letter such as D.

A

C

B

SR

ABC

D

Page 11: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Examples of Planes

Page 12: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Book p 7

Page 13: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Collinear♥ Points on the same line

Coplanar♥ Points on the same plane

A B C D

A

C

B

Page 14: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.
Page 15: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Ray♥ part of a line that starts at a point

and goes forever in one direction. ♥ HOW TO WRITE: Letter under

endpoint must be the start of the ray.

A

BBA

Page 16: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Segment• a part of a line that begins at one point

and ends at another (the endpoints) • HOW TO WRITE:

– The endpoints have a bar over them.

A BBA

C

DCD

Page 17: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Book p.11-15A B

Page 18: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.
Page 19: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

Hatch Marks – short slash markings that show two or more segments are equal in length

W X Y Z

WX = YZ

Congruent - segments that have the same measure (like equal)

~

Urkle Stephon

Zack Cody

Page 20: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.
Page 21: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.
Page 22: Chapter 1.1 8/22/2015. Vocabulary point line collinear points plane compass straightedge sketch draw construct coplanar lines skew lines ray endpoint.

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