a
Middle
School
Grade 6
Grade 7
Grade 8
Grade 9
Ressource
Out Middle
High
School
Grade 10
Grade 11
Grade 11 - STMG
Grade 12 - STMG
Grade 12
Grade 12 - Comp.
Grade 12 - Exp.
Ressource
Out High
4
3
2
1
Grade 6
/ Going further: coordinates in the plane
9 exercises corrected
a
Coordinates in the plane
(8 exercices)
Coordinates in space
(3 exercices)
1.
Coordinates
in
the
plane
E.11188
In
a
plane
equipped
with
a
coordinate
system,
consider
the
two
points
A
and
B
:
Reading
coordinates:
A
point
in
the
plane
is
identified
using
the
scale
on
the
two
half-lines.
We
will
perform
the
following
two
readings
in
this
order
:
we
read
the
number
on
the
horizontal
half-line
(x-axis)
we
read
the
number
on
the
vertical
half-line
(y-axis)
Point
A
is
identified
by
the
number
14
,
then
the
number
4
.
Vocabulary
:
We
say
that
the
point
A
has
coordinates
(
14
;
4
)
L’
x-coordinate
of
the
point
A
has
a
value
of
14
.
L’
ordinate
of
point
A
has
a
value
of
4
.
1
Give
the
coordinates
of
point
B
.
2
Place
the
two
points
C
and
D
with
coordinates
:
C
(
2
;
1
)
;
D
(
10
;
3
)
Note:
Check
that
points
A
,
B
,
C
,
and
D
are
aligned.
E.11182
In
the
plane
with
a
reference
point
:
We
have
the
coordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.11183
In
the
plane
with
a
reference
point
:
We
have
the
coordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.11185
Consider
the
coordinate
system
in
the
diagram
below
:
1
Determine
the
coordinates
of
points
A
,
B
,
C
,
D
,
and
E
located
in
the
coordinate
system
above.
2
Name
the
(s)
point
(s)
with
strictly
negative
abscissa.
3
Name
the
(s)
point
(s)
with
strictly
negative
ordinates.
E.11186
Consider
the
following
reference
frame
in
the
plane
:
1
Determine
the
coordinates
of
the
points
B
and
C
.
2
Place
the
points
:
A
(
−
4
;
1
)
;
D
(
−
3
;
−
2
)
.
3
What
conjecture
can
be
made
about
the
nature
of
the
quadrilateral
AB
C
D
?
E.11184
Consider
the
grid
below
:
1
Knowing
that
the
point
B
has
the
coordinate
(
−
3
;
−
1
)
,
correctly
place
the
origin
and
the
missing
axes
of
the
grid.
2
Place
the
points
A
,
C
and
D
:
A
(
−
2
;
2
)
;
C
(
7
;
−
1
)
;
D
(
6
;
−
4
)
3
What
is
the
nature
of
the
quadrilateral
AB
C
D
?
https://chingmath.fr
chapExoCorrec/11188
sacados/11188
0
1
2
4
6
8
10
12
14
1
2
4
x
y
A
B
chapExoCorrec/11182
sacados/11182
0
1
2
4
6
8
10
12
14
1
2
4
x
y
A
B
C
chapExoCorrec/11183
sacados/11183
0
1
2
3
4
5
6
7
1
2
x
y
A
B
C
chapExoCorrec/11185
sacados/11185
-7
-6
-5
-4
-3
-2
-1
O
1
2
3
4
5
6
-3
-2
-1
1
2
A
B
C
D
E
chapExoCorrec/11186
sacados/11186
x
x
y
y
-6
-5
-4
-3
-2
-1
O
1
2
3
4
5
-3
-2
-1
1
2
B
C
chapExoCorrec/11184
sacados/11184
B
E.11817
1
In
the
marker
below,
place
the
following
points
:
A
(
−
7
;
−
2
)
;
B
(
−
5
;
3
)
;
C
(
−
2
;
0
)
D
(
0
;
2
)
;
E
(
6
;
4
)
;
F
(
10
;
2
)
;
G
(
4
;
0
)
2
a
Connect
the
points
A
,
B
,
C
and
color
the
triangle
AB
C
blue.
What
is
its
nature?
b
Connect
the
points
D
,
E
,
F
,
G
and
color
the
quadri-
lateral
D
E
F
G
in
red.
What
is
its
nature?
2.
Coordinates
in
space
E.11124
In
space
provided
with
a
reference
frame,
consider
the
figure
below
composed
of
cubes
with
edges
measuring
1
:
Give
the
coordinates
of
the
points
A
,
B
,
C
,
D
.
E.11125
In
the
space
marked
with
a
reference
point,
consider
the
points
4
,
A
,
B
,
C
,
D
shown
below
:
Give
the
coordinates
of
these
four
points.
https://chingmath.fr
chapExoCorrec/11817
sacados/11817
-6
-4
-2
0
1
2
4
6
8
10
-2
0
1
2
4
x
y
chapExoCorrec/11124
sacados/11124
O
x
y
z
A
B
C
D
chapExoCorrec/11125
sacados/11125
x
y
z
A
B
C
D
ChingMath
by ChingLab
©
Middle School
Grade 6
Grade 7
Grade 8
Grade 9
High School
Grade 10
Grade 11
Grade 12
Grade 12 opt. Complémentaire
Grade 12 opt. Experte
Various
Contact me
F.A.Q
Other website
ChingWeb