1.1 Vocabulary

• A segment is a part of a line that begins at one point and ends at another.

• A ray is a part of a line that starts at a point and extends infinitely in one direction.

AB

Example:

D CExample:

Plane Vocabulary

• Things you should know:

– Points on a plane are said to be collinear if a single line can contain them all.

– Points on a plane are said to be coplanar if a single plane can contain them all

k

G

E FPlane EGF:

Points E, K, and F are Collinear All points are coplanar

Angletastic• Angles:

– Formed by two rays with a common endpoint

• “vertex of the angle”• Rays are the “sides of the angle”

– Divides the plane into two regions:• INTERIOR• EXTERIOR

1.1 the Building Blocks of Geometry

• 1.1 describes the basic geometric figures• These include points, lines, and planes.• A point is an undefined term in geometry;

a point can be thought of as a dot that represents a location on a plane or in a space.

• Here is an example of a point:

This is pointA.

C

B

A

P O

N

GFDEH

I

JK

L

M

1.1 the Building Blocks of Geometry

• A line is perfectly straight, contains an infinite number of points, extend infinitely in two directions, and have no thickness.

• A plane is a flat surface that extends infinitely in all directions.

A GB C D E F

Example of line:

Example of Plane:

1.2 Measuring Lengths

• A number line is a line that has been set up to correspond with real numbers.– Whats the distance between the red bunny

and the blue bunny?

CONTINUED

• Are you having trouble? To figure out this puzzling question that may possibly be on your final…

• Subtract the red bunny from the blue bunny HINT: (Absolute value of -13 – 3) thus equating the distance which is…

10!!!

1.2 POSTULATES• Segment Congruence Postulate: If two

segments have the same length as measured by a fair ruler, then the segments are congruent

Are these segments equal?

1.2 POSTULATES

• Segment addition postulate: If point R is between points P and Q on a line, then PR+RQ=PQ

P R Q

1.2 Measuring Angles• To measure an angle:

– Put the center of the protractor at the vertex

– Align the protractor so one ray is on the line 0

– Read the measure of the other ray.

1.3 POSTULATES• Angle Congruence Postulate:

– If two angles have the same measure, then they are congruent

• Angle Addition Postulate– If point B is the interior of ACE. Then

ACB+BCE= ACE

1.3 Special Pairs

• Complementary pairs:– Two angles who measures have a sum of

90.

• Supplementary pairs:– Two angles whose measures have a sum

of 180.

ANGLES

• Three types of angles:– Right angle- angle whose measure is 90.– Acute angle- angle whose measure is less

than 90.– Obtuse angle- angle whose measure is

more than 90.

Extra stufffff.

• http://www.tutorvista.com/search/angles-with-three-different-angles-are-calledtriangle

• http://www.kwiznet.com/p/takeQuiz.php?ChapterID=2553&CurriculumID=37&Num=4.4