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------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/master06.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAAD3gAAAAUAMwAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwC7wLpAwMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAOAAAAJAMFAP///////+4C 6APuAugD////////CAAAAPoCAAAAAAAAAAAAAAQAAAAtAQIABAAAAC0BAAAEAAAAJwH//xwAAAD7 AtT/AAAAAAAAkAEAAAAAAEAAAEFyaWFsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAC0B AwAEAAAALgEYAAQAAAACAQEABQAAAAkCAAAAAjMAAAAyCjQAuQAdAAAAUmVjdGFuZ3VsYXIgQ29v cmRpbmF0ZSBTeXN0ZW0AIAAYABYADQAZABgAGQAYAAoAGAAQAAwAIAAZABgADwAYAAsAGQAYAA0A GAANAB4AFQAWAA0AGAAmAAQAAAAuAQAAHAAAAPsCEAAHAAAAAAC8AgAAAAABAgIiU3lzdGVtAAAA AAAAGAAAADieEwABAAAA5AQAAAAAAAAEAAAALQEEAAQAAADwAQMAAwAAAAAA ------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0006.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0043.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0044.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0045.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0046.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
The horizontal axis is ca= lled the x-axis. <= /span>
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0047.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
The horizontal axis is ca= lled the x-axis. T= he vertical axis is called the y-axis. <= /span>
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0048.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
The horizontal axis is ca= lled the x-axis. T= he vertical axis is called the y-axis. T= he point where the axes meet
is called the origin.
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0050.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
The horizontal axis is ca= lled the x-axis. T= he vertical axis is called the y-axis. T= he point where the axes meet
is called the origin.
Starting from the origin, each point is addressed by its ordered pair (x, y) where:
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0052.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
The horizontal axis is ca= lled the x-axis. T= he vertical axis is called the y-axis. T= he point where the axes meet
is called the origin.
Starting from the origin, each point is addressed by its ordered pair (x, y) where:
x =3D amount = to move
right (+) or = left (–).
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0051.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
A coordinate system<= /i> is a system of assigning addresses for positions in the plane (2 D) or in space (3 D).
The rectangular coordi= nate system for the plane consists of a rectangular grids where each po= int in the plane is addressed by an ordered pair of numbers (x, y).
Rectangular Coordinate System
The horizontal axis is ca= lled the x-axis. T= he vertical axis is called the y-axis. T= he point where the axes meet
is called the origin.
Starting from the origin, each point is addressed by its ordered pair (x, y) where:
x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
Rectangular Coordinate System
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) =
Rectangular Coordinate System
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right,
Rectangular Coordinate System
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
(4, –3)
P
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
A
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
A
B
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
A
B
C
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
The ordered pair (x, y) corresponds to a point is called the
coordinate of the point, x is the x-coordinate and y is the
y-coordinate.
A
B
C
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
The ordered pair (x, y) corresponds to a point is called the
coordinate of the point, x is the x-coordinate and y is the
y-coordinate.
A
B
C
Example B: Fi= nd the coordinate of P, Q, R.
P
Q
R
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
The ordered pair (x, y) corresponds to a point is called the
coordinate of the point, x is the x-coordinate and y is the
y-coordinate.
A
B
C
Example B: Fi= nd the coordinate of P, Q, R.
P(4, 5),
P
Q
R
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
The ordered pair (x, y) corresponds to a point is called the
coordinate of the point, x is the x-coordinate and y is the
y-coordinate.
A
B
C
Example B: Fi= nd the coordinate of P, Q, R.
P(4, 5), Q(3, -5),
P
Q
R
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x =3D amount = to move
right (+) or = left (–).
y =3D amount to move
up (+) or down (–).
For example, the point= P
corresponds to (4, = –3) is =
4 right, and 3 down fr= om
the origin.
Rectangular Coordinate System
Example A. &#= 13;
Label the poi= nts
A(-1, 2), B(-= 3, -2),C(0, -5).
The ordered pair (x, y) corresponds to a point is called the
coordinate of the point, x is the x-coordinate and y is the
y-coordinate.
A
B
C
Example B: Fi= nd the coordinate of P, Q, R.
P(4, 5), Q(3, -5), R(-6, 0)
P
Q
R
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The coordinate of the =
origin is (0, 0).
 (0,0)
Rectangular Coordinate System
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
 (0,0)
Rectangular Coordinate System
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
(5, 0)
 (0,0)
Rectangular Coordinate System
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
(5, 0)
(-6, 0)
 (0,0)
Rectangular Coordinate System
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
(5, 0)
(-6, 0)
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
 (0,0)
Rectangular Coordinate System
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
(5, 0)
(-6, 0)
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
(0, 6)
 (0,0)
Rectangular Coordinate System
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
(5, 0)
(-6, 0)
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
(0, -4)
(0, 6)
 (0,0)
Rectangular Coordinate System
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
Rectangular Coordinate System
Q1
Q2
Q3
Q4
The axes divide the plane into four parts and th= ey are counter-clockwisely denoted as quadrants 1, 2, 3, = and 4.
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
Rectangular Coordinate System
Q1
Q2
Q3
Q4
The axes divide the plane into four parts and th= ey are counter-clockwisely denoted as quadrants 1, 2, 3, = and 4.  Respectiv= ely, the signs of the coordinates of each quadrant are shown.
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
Rectangular Coordinate System
Q1
Q2
Q3
Q4
(+,+)
The axes divide the plane into four parts and th= ey are counter-clockwisely denoted as quadrants 1, 2, 3, = and 4.  Respectiv= ely, the signs of the coordinates of each quadrant are shown.
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
Rectangular Coordinate System
Q1
Q2
Q3
Q4
(+,+)
(–,+)
The axes divide the plane into four parts and th= ey are counter-clockwisely denoted as quadrants 1, 2, 3, = and 4.  Respectiv= ely, the signs of the coordinates of each quadrant are shown.
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
Rectangular Coordinate System
Q1
Q2
Q3
Q4
(+,+)
(–,+)
(–,–)
The axes divide the plane into four parts and th= ey are counter-clockwisely denoted as quadrants 1, 2, 3, = and 4.  Respectiv= ely, the signs of the coordinates of each quadrant are shown.
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The coordinate of the =
origin is (0, 0). =
Any point on the x-axi= s
has coordinate of the =
form (x, 0).
Any point on the y-axi= s
has coordinate of the =
form (0, y).=
Rectangular Coordinate System
Q1
Q2
Q3
Q4
(+,+)
(–,+)
(–,–)
(+,–)
The axes divide the plane into four parts and th= ey are counter-clockwisely denoted as quadrants 1, 2, 3, = and 4.  Respectiv= ely, the signs of the coordinates of each quadrant are shown.
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When the x-coordinate = of the a point (x, y) is changed to its opposite as (–x , y), t= he new point= is the reflection
across the y-axis.
(5,4)
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0080.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
When the x-coordinate = of the a point (x, y) is changed to its opposite as (–x , y), t= he new point= is the reflection
across the y-axis.
(5,4)
(<= span lang=3DEN-US style=3D'font-size:133%;color:red;mso-fareast-language:ZH-CN'= >–5,4)
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0081.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
When the x-coordinate = of the a point (x, y) is changed to its opposite as (–x , y), t= he new point= is the reflection
across the y-axis.
When the y-coordinate of the a point (x, y) is changed to its opposite as (x , –y), the new p= oint is the reflection across the x-axis.
(5,4)
(<= span lang=3DEN-US style=3D'font-size:133%;color:red;mso-fareast-language:ZH-CN'= >–5,4)
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0082.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
When the x-coordinate = of the a point (x, y) is changed to its opposite as (–x , y), t= he new point= is the reflection
across the y-axis.
When the y-coordinate of the a point (x, y) is changed to its opposite as (x , –y), the new p= oint is the reflection across the x-axis.
(5,4)
(<= span lang=3DEN-US style=3D'font-size:133%;color:red;mso-fareast-language:ZH-CN'= >–5,4)
(5, –4)=
Rectangular Coordinate System
------=_NextPart_01C9ACAE.5FF26D60 Content-Location: file:///C:/EDCB5D0D/1RectangularCoordinateSystem_files/slide0083.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Rectangular Coordinate System
When the x-coordinate = of the a point (x, y) is changed to its opposite as (–x , y), t= he new point= is the reflection
across the y-axis.
When the y-coordinate of the a point (x, y) is changed to its opposite as (x , –y), the new p= oint is the reflection across the x-axis.