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
/ a little further on: locating on the map
9 exercises corrected
a
Coordinates in the plane
(8 exercices)
Coordinates in space
(3 exercices)
1.
Co
or
dinates
in
the
plane
E.11188
In
a
plane
equipp
ed
with
a
co
ordinate
system,
consider
the
t
w
o
p
oin
ts
A
and
B
:
Reading
co
ordinates
:
A
p
oin
t
in
the
plane
is
iden
tified
using
the
scale
on
the
t
w
o
half-lines.
W
e
will
p
erform
the
follo
wing
t
w
o
readings
in
this
order
:
w
e
read
the
n
um
b
er
on
the
horizon
tal
half-line
(x-axis)
w
e
read
the
n
um
b
er
on
the
v
ertical
half-line
(y-axis)
P
oin
t
A
is
iden
tified
b
y
the
n
um
b
er
14
,
then
the
n
um
b
er
4
.
V
o
cabulary
:
W
e
sa
y
that
the
p
oin
t
A
has
co
ordinates
(
14
;
4
)
L’
x-co
ordinate
of
the
p
oin
t
A
has
a
v
alue
of
14
.
L’
ordinate
of
p
oin
t
A
has
a
v
alue
of
4
.
1
Giv
e
the
co
ordinates
of
p
oin
t
B
.
2
Place
the
t
w
o
p
oin
ts
C
and
D
with
co
ordinates
:
C
(
2
;
1
)
;
D
(
10
;
3
)
Note
:
Chec
k
that
p
oin
ts
A
,
B
,
C
,
and
D
are
aligned.
E.11182
In
the
plane
with
a
reference
p
oin
t
:
W
e
ha
v
e
the
co
ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.11183
In
the
plane
with
a
reference
p
oin
t
:
W
e
ha
v
e
the
co
ordinates
:
A
(
:
:
:
;
:
:
:
)
;
B
(
:
:
:
;
:
:
:
)
;
C
(
:
:
:
;
:
:
:
)
E.11185
Consider
the
co
ordinate
system
in
the
diagram
b
elo
w
:
1
Determine
the
co
ordinates
of
p
oin
ts
A
,
B
,
C
,
D
,
and
E
lo
cated
in
the
co
ordinate
system
ab
o
v
e.
2
Name
the
(s)
p
oin
t
(s)
with
strictly
negativ
e
abscissa.
3
Name
the
(s)
p
oin
t
(s)
with
strictly
negativ
e
ordinates.
E.11186
Consider
the
follo
wing
reference
frame
in
the
plane
:
1
Determine
the
co
ordinates
of
the
p
oin
ts
B
and
C
.
2
Place
the
p
oin
ts
:
A
(
−
4
;
1
)
;
D
(
−
3
;
−
2
)
.
3
What
conjecture
can
b
e
made
ab
out
the
nature
of
the
quadrilateral
AB
C
D
?
E.11184
Consider
the
grid
b
elo
w
:
1
Kno
wing
that
the
p
oin
t
B
has
the
co
ordinate
(
−
3
;
−
1
)
,
correctly
place
the
origin
and
the
missing
axes
of
the
grid.
2
Place
the
p
oin
ts
A
,
C
and
D
:
A
(
−
2
;
2
)
;
C
(
7
;
−
1
)
;
D
(
6
;
−
4
)
3
What
is
the
nature
of
the
quadrilateral
AB
C
D
?
h
ttps:/
/c
hingmath.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.11190
Rep
eat
an
exercise
lik
e
this
one
but
with
a
displacemen
t
E.11817
1
In
the
mark
er
b
elo
w,
place
the
follo
wing
p
oin
ts
:
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
p
oin
ts
A
,
B
,
C
and
color
the
triangle
AB
C
blue.
What
is
its
nature?
b
Connect
the
p
oin
ts
D
,
E
,
F
,
G
and
color
the
quadri-
lateral
D
E
F
G
in
red.
What
is
its
nature?
2.
Co
or
dinates
in
sp
ac
e
E.11145
Definition
:
to
lo
cate
p
oin
ts
in
space,
w
e
use
a
reference
frame
comp
osed
of
three
axes
:
the
abscissa
axis
(note
d
x
)
,
the
ordinate
axis
(note
d
y
)
,
the
coastline
axis
(note
d
z
)
.
These
axes
ha
v
e
the
same
origin
(usual
ly
note
d
O
)
,
ha
v
e
the
same
unit
and
are
p
erp
endicular
to
eac
h
other
(two
by
two)
.
In
space
pro
vided
with
a
reference
frame,
consider
the
config-
uration
b
elo
w
comp
osed
of
cub
es
with
sides
measuring
1
.
Definition
:
to
mo
v
e
from
p
oin
t
O
to
p
oin
t
A
,
w
e
mak
e
3
mo
v
es
along
the
direction
of
the
3
axes
of
the
reference
frame
:
5
units
along
the
x-axis,
4
units
along
the
y-axis,
3
units
along
the
coast
axis.
On
dira
que
le
p
oin
t
A
a
p
our
co
ordonnées
5
;
4
;
3
.
Giv
e
the
co
ordinates
of
the
p
oin
ts
B
,
C
,
D
.
E.11124
In
space
pro
vided
with
a
reference
frame,
consider
the
figure
b
elo
w
comp
osed
of
cub
es
with
edges
measuring
1
:
Giv
e
the
co
ordinates
of
the
p
oin
ts
A
,
B
,
C
,
D
.
h
ttps:/
/c
hingmath.fr
sacados/11190
chapExoCorrec/11817
sacados/11817
-6
-4
-2
0
1
2
4
6
8
10
-2
0
1
2
4
x
y
chapExoCorrec/11145
sacados/11145
O
abscisses
(
x
ordonnées
(
y
)
côtes (
z
)
A
B
C
D
chapExoCorrec/11124
sacados/11124
O
x
y
z
A
B
C
D
E.11125
In
the
space
mark
ed
with
a
reference
p
oin
t,
consider
the
p
oin
ts
4
,
A
,
B
,
C
,
D
sho
wn
b
elo
w
:
Giv
e
the
co
ordinates
of
these
four
p
oin
ts.
h
ttps:/
/c
hingmath.fr
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