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
Outside the middle school program
/ Remarkable lines
7 exercises (100% corrected)
a
Medians
(1 exercice)
Course question
(2 exercices)
Distance from a point to a line
(2 exercices)
Medians and heights
(2 exercices)
A
B
C
D
M
T
(
C
O
M
(
d
1.
Me
dians
E.2354
The
figure
opp
osite
is
not
to
b
e
rep
eated
on
the
cop
y
.
It
is
not
giv
en
in
full
size.
The
radius
of
the
circle
(
C
)
of
cen
ter
O
is
equal
to
3
cm
.
[
AB
]
is
a
diameter
of
this
circle.
The
p
oin
ts
C
and
D
b
elong
to
the
circle
and
the
straigh
t
line
(
C
D
)
is
the
bisector
of
the
radius
[
O
A
]
.
M
is
the
p
oin
t
of
in
tersec-
tion
of
(
C
D
)
and
(
AB
)
.
The
straigh
t
line
(
O
C
)
in
tersects
T
the
tangen
t
to
the
circle
(
C
)
at
the
p
oin
t
B
.
1
Sho
w
that
(
C
M
)
and
(
B
T
)
are
parallel.
2
Calculate,
using
the
Thales
prop
ert
y
,
the
length
O
T
.
3
Demonstrate
that
the
triangle
C
O
A
is
equilateral.
2.
Course
question
E.1204
1
In
triangle
M
N
P
,
define
the
altitude
dra
wn
from
v
ertex
P
.
2
Define
the
p
erp
endicular
bisector
and
state
t
w
o
prop
er-
ties
related
to
it.
3
If
a
,
b
,
and
c
are
three
n
um
b
ers,
state
a
condition
on
these
n
um
b
ers
suc
h
that
it
is
imp
ossible
to
construct
a
triangle
with
sides
of
these
lengths.
Let
A
,
B
,
and
C
b
e
three
p
oin
ts.
What
condition
m
ust
hold
on
these
p
oin
ts
so
that
p
oin
t
B
lies
on
segmen
t
[
AC
]
?
3.
Distanc
e
fr
om
a
p
oint
to
a
line
E.6444
Consider
the
configuration
b
elo
w
com-
p
osed
of
t
w
o
straigh
t
lines
(
d
)
and
(Δ)
and
a
p
oin
t
M
of
the
plane
:
1
a
Place
the
p
oin
t
H
in
tersection
of
the
line
(
d
)
and
the
line
passing
through
the
p
oin
t
M
and
p
erp
endicular
to
the
line
(
d
)
.
b
Giv
e
the
measure
of
the
distance
from
the
p
oin
t
M
to
the
line
(
d
)
.
2
Giv
e
the
measure
of
the
distance
from
p
oin
t
M
to
line
(Δ)
.
3
a
What
conjecture
can
b
e
made
ab
out
the
distance
of
the
p
oin
t
M
from
the
t
w
o
straigh
t
lines
(
d
)
and
(Δ)
?
b
Dra
w
the
circle
C
with
cen
ter
M
and
passing
through
the
p
oin
t
H
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/2354
sacados/2354
A
B
C
D
M
T
(
C
O
chapExoCorrec/1204
sacados/1204
chapExoCorrec/6444
sacados/6444
M
(
d
A
B
C
D
O
4
cm
70
o
7
cm
I
A
B
C
D
P
(
d
(
d
A
B
C
D
M
P
J
S
K
(
AC
=
=
E.4965
Consider
the
quadrilateral
AB
C
D
sho
wn
b
elo
w
and
the
p
oin
t
O
lo
cated
inside
the
quadrilateral
:
1
Using
the
compass
and
unlined
straigh
tedge,
dra
w
the
straigh
t
lines
passing
through
O
and
resp
ectiv
ely
p
erp
en-
dicular
to
the
four
sides
of
the
quadrilateral.
2
a
Measure
the
distances
of
the
p
oin
t
O
from
the
four
sides
of
this
quadrilateral,
resp
ectiv
ely
.
b
Dra
w
the
circle
with
cen
ter
O
,
inscrib
ed
inside
the
quadrilateral
and
ha
ving
the
largest
p
ossible
radius.
What
do
w
e
notice?
4.
Me
dians
and
heights
E.1669
In
the
plane,
consider
the
configuration
b
elo
w
where
the
quadrilateral
AB
D
C
is
a
parallelogram.
1
Repro
duce
the
figure
ab
o
v
e.
2
W
rite
a
program
of
plots
of
the
figure
starting
with
:
ˇ
Dra
w
the
parallelogram
AB
C
D
suc
h
that
:
C
D
=
7
cm
;
AD
=
4
cm
;
B
AD
=
70
o
ı
E.2272
Consider
the
follo
wing
figure
:
Giv
e
the
plotting
program
starting
with
the
sen
tence
ˇ
Dra
w
a
parallelogram
AB
C
D
ı
5.
Unclassifie
d
financial
ye
ars
E.251
1
a
Let
AB
C
b
e
an
equilateral
triangle
of
side
x
cm
.
Determine
the
length
of
its
heigh
ts.
b
Determine
the
appro
ximate
v
alue
to
10
−
3
of
the
length
of
the
heigh
t
of
an
equilateral
triangle
with
side
4
cm
.
2
Determine
the
measure,
to
the
nearest
millimeter,
of
the
length
of
the
sides
of
an
equilateral
triangle
whose
area
is
25
cm
2
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/4965
sacados/4965
A
B
C
D
O
chapExoCorrec/1669
sacados/1669
4
cm
70
o
7
cm
I
A
B
C
D
P
chapExoCorrec/2272
sacados/2272
(
d
(
d
A
B
C
D
M
P
J
S
K
(
AC
=
=
chapExoCorrec/251
sacados/251
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