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Geometry Concepts Introduction Point, Line, Ray, Angles

Geometry Concepts

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Geometry Concepts. Introduction Point, Line, Ray, Angles. Def: location in space Label with capital letter. Def: set of points extending infinitely in both directions Label two points on the line. AB. Point. Line. Point D. B. D. A. C. B. A. Plane. - PowerPoint PPT Presentation

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Page 1: Geometry Concepts

Geometry Concepts

Introduction Point, Line, Ray,

Angles

Page 2: Geometry Concepts

Point Def:

location in space

Label with capital letter

Def: set of points extending infinitely in both directions

Label two points on the line

DPoint D

AB

A

B

Line

Page 3: Geometry Concepts

BA

C

Plane Def: a flat surface extending

endlessly in all directions

plane BAC

Page 4: Geometry Concepts

Line Segment

Def: part of a line with two endpoints

Label the two endpoints

Def: part of a line, one endpoint, extends infinitely in one direction

Label endpoint and one other point

AB

C

D

Ray

A

B

CD

Page 5: Geometry Concepts

Angle Def: two rays with a common

endpoint, called the vertex Label and name in three ways

H

I

SHIS

I

SIH

H

S

vertex

Page 6: Geometry Concepts

Acute: 90o Right: 90

o

=

Obtuse:

Straight:90 and

o180

o

180o

=

Page 7: Geometry Concepts

Complementary angles:

o

Def: the sum of the measures of two angles = 90

50o

+ 40o

Supplementary angles:

180o

Def: the sum of the measures of two angles =

135

o+ 45

o

Page 8: Geometry Concepts

Parallel LinesDef: two lines in

the same plane that never intersect

Perpendicular LinesDef: two lines that intersect to form right angles

A

B

D

CAB CD

E

F

H

G

EF GH

Page 9: Geometry Concepts

Intersecting LinesDef: Two lines

that cross at a common point

Vertical AnglesDef: Opposite

pairs of congruent angles formed by intersecting lines

E

F

H

G

intersects at point PEF GH

P 3 4

1 2

3 4

1

2

Page 10: Geometry Concepts

Reflex Angleo

180 and 360o

Page 11: Geometry Concepts

Adjacent Angles

Def: two angles with a common vertex and a common side but no common interior points

1 2

1 and 2

are adjacent angles

Page 12: Geometry Concepts

Phew!!! That’s all, folks.