View
11.018
Download
0
Category
Tags:
Preview:
DESCRIPTION
Students become familiar with the construction and parts of an angle.
Citation preview
AnglesAngles
You will learn to name and identify parts of an angle.
1) Opposite Rays2) Straight Angle3) Angle4) Vertex5) Sides6) Interior7) Exterior
AnglesAngles
___________ are two rays that are part of a the same line and have only theirendpoints in common.
AnglesAngles
___________ are two rays that are part of a the same line and have only theirendpoints in common.Opposite rays
AnglesAngles
___________ are two rays that are part of a the same line and have only theirendpoints in common.Opposite rays
XY Z
XY and XZ are ____________.
AnglesAngles
___________ are two rays that are part of a the same line and have only theirendpoints in common.Opposite rays
XY Z
XY and XZ are ____________.opposite rays
AnglesAngles
___________ are two rays that are part of a the same line and have only theirendpoints in common.Opposite rays
XY Z
XY and XZ are ____________.opposite rays
The figure formed by opposite rays is also referred to as a ____________.
AnglesAngles
___________ are two rays that are part of a the same line and have only theirendpoints in common.Opposite rays
XY Z
XY and XZ are ____________.opposite rays
The figure formed by opposite rays is also referred to as a ____________.straight angle
AnglesAngles
There is another case where two rays can have a common endpoint.
R
S
T
This figure is called an _____.
AnglesAngles
There is another case where two rays can have a common endpoint.
R
S
T
This figure is called an _____.angle
AnglesAngles
There is another case where two rays can have a common endpoint.
R
S
T
This figure is called an _____.angle
Some parts of angles have special names.
The common endpoint is called the ______,
AnglesAngles
There is another case where two rays can have a common endpoint.
R
S
T
This figure is called an _____.angle
Some parts of angles have special names.
The common endpoint is called the ______,vertex
AnglesAngles
There is another case where two rays can have a common endpoint.
R
S
T
This figure is called an _____.angle
Some parts of angles have special names.
The common endpoint is called the ______,vertex
vertex
and the two rays that make up the sides ofthe angle are called the sides of the angle.
side
side
AnglesAngles
Definitionof Angle
An angle is a figure formed by two noncollinear rays that have a common endpoint.
E
D
F
2
Symbols: DEF
AnglesAngles
Definitionof Angle
An angle is a figure formed by two noncollinear rays that have a common endpoint.
E
D
F
2
Symbols: DEF
FED
AnglesAngles
Definitionof Angle
An angle is a figure formed by two noncollinear rays that have a common endpoint.
E
D
F
2
Symbols: DEF
E
FED
AnglesAngles
Definitionof Angle
An angle is a figure formed by two noncollinear rays that have a common endpoint.
E
D
F
2
Symbols: DEF
2
E
FED
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
CBA
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
CBA
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
B
CBA
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
1
B
CBA
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
1
B
CBA
2) Identify the vertex and sides of this angle.
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
1
B
CBA
2) Identify the vertex and sides of this angle.
Point Bvertex:
AnglesAngles
B
A
1
C
1) Name the angle in four ways.
ABC
1
B
CBA
2) Identify the vertex and sides of this angle.
Point B
BA and BC
vertex:
sides:
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
Z
1
2
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
1
Z
1
2
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
1
2
Z
1
2
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
1
2
Z
1
2XWZ
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
1
2
Z
1
2
2) What are other names for ?1
XWZ
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
1
2
Z
1
2
2) What are other names for ?1
XWY or YWX
XWZ
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
1
2
Z
1
2
2) What are other names for ?1
XWY or YWX
3) Is there an angle that can be named ? W
XWZ
AnglesAngles
W
Y
X1) Name all angles having W as their vertex.
1
2
Z
1
2
2) What are other names for ?1
XWY or YWX
3) Is there an angle that can be named ? W
No!
XWZ
AnglesAngles
An angle separates a plane into three parts:
1) the ______
W
Y
Z
A
B
AnglesAngles
An angle separates a plane into three parts:
1) the ______interior
interior
W
Y
Z
A
B
AnglesAngles
An angle separates a plane into three parts:
1) the ______
2) the ______
interior
A
Binterior
W
Y
Z
AnglesAngles
An angle separates a plane into three parts:
1) the ______
2) the ______
interior
exterior
exterior
interior
W
Y
Z
A
B
AnglesAngles
An angle separates a plane into three parts:
1) the ______
2) the ______
3) the _________
interior
exterior
exterior
interior
W
Y
Z
A
B
AnglesAngles
An angle separates a plane into three parts:
1) the ______
2) the ______
3) the _________
interior
exterior
angle itself
exterior
interior
W
Y
Z
A
B
AnglesAngles
An angle separates a plane into three parts:
1) the ______
2) the ______
3) the _________
interior
exterior
angle itself
exterior
interior
W
Y
Z
A
B
In the figure shown, point B and all other points in the blue region are in the interiorof the angle.
AnglesAngles
An angle separates a plane into three parts:
1) the ______
2) the ______
3) the _________
interior
exterior
angle itself
exterior
interior
W
Y
Z
A
B
In the figure shown, point B and all other points in the blue region are in the interiorof the angle.
Point A and all other points in the greenregion are in the exterior of the angle.
AnglesAngles
An angle separates a plane into three parts:
1) the ______
2) the ______
3) the _________
interior
exterior
angle itself
exterior
interior
W
Y
Z
A
B
In the figure shown, point B and all other points in the blue region are in the interiorof the angle.
Point A and all other points in the greenregion are in the exterior of the angle.
Points Y, W, and Z are on the angle.
AnglesAngles
B
Is point B in the interior of the angle, exterior of the angle, or on the angle?
G
P
AnglesAngles
B
Is point B in the interior of the angle, exterior of the angle, or on the angle?
ExteriorG
P
AnglesAngles
B
Is point B in the interior of the angle, exterior of the angle, or on the angle?
ExteriorG
Is point G in the interior of the angle, exterior of the angle, or on the angle?
P
AnglesAngles
B
Is point B in the interior of the angle, exterior of the angle, or on the angle?
ExteriorG
Is point G in the interior of the angle, exterior of the angle, or on the angle?
On the angle
P
AnglesAngles
B
Is point B in the interior of the angle, exterior of the angle, or on the angle?
ExteriorG
Is point G in the interior of the angle, exterior of the angle, or on the angle?
On the angle
Is point P in the interior of the angle, exterior of the angle, or on the angle?
P
AnglesAngles
B
Is point B in the interior of the angle, exterior of the angle, or on the angle?
ExteriorG
Is point G in the interior of the angle, exterior of the angle, or on the angle?
On the angle
Is point P in the interior of the angle, exterior of the angle, or on the angle?
Interior
P
§3.7 Perpendicular Lines§3.7 Perpendicular Lines
Recommended