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4
3
2
1
Outside the middle school program
/ Midpoint theorem
4 exercises (100% corrected)
a
A
B
C
D
E
I
J
F
3
cm
C
A
B
D
E
O
F
G
A
B
C
D
E
I
J
F
3
cm
4
cm
1.
Unclassifie
d
financial
ye
ars
E.4793
Consider
the
parallelogram
AB
C
D
sho
wn
b
elo
w
where
AB
=
4
cm
and
I
is
the
midp
oin
t
of
[
AB
]
.
The
p
oin
t
E
is
placed
so
that
the
p
oin
t
D
is
the
midp
oin
t
of
the
segmen
t
[
AE
]
.
The
p
oin
t
J
is
the
p
oin
t
of
in
tersection
of
the
straigh
t
lines
(
E
I
)
and
(
C
D
)
.
The
p
oin
t
F
is
the
p
oin
t
of
in
tersection
of
the
straigh
t
lines
(
B
C
)
and
(
E
I
)
.
1
Determine
the
measure
of
segmen
t
[
D
J
]
.
2
a
Determine
the
v
alue
of
the
quotien
t
I
B
C
J
.
b
Deduce
the
measure
of
segmen
t
[
B
C
]
.
E.4679
In
the
plane,
consider
a
triangle
AB
C
whose
dimensions
are
:
AB
=
6
cm
;
AC
=
9
cm
;
AB
C
=
60
o
Let
us
note
I
and
J
the
t
w
o
p
oin
ts
of
the
half-line
[
AB
)
v
eri-
fying
the
measures
:
AI
=
2
cm
;
AJ
=
4
cm
Note
K
and
L
the
t
w
o
p
oin
ts
of
the
half-line
[
AC
)
v
erifying
the
measures
:
AK
=
3
cm
;
AL
=
6
cm
Note
M
the
p
oin
t
of
in
tersection
of
the
straigh
t
lines
(
J
L
)
and
(
B
K
)
.
1
Mak
e
a
dra
wing
of
this
configuration.
2
Sho
w
that
the
straigh
t
lines
(
I
K
)
and
(
J
L
)
are
parallel.
3
Justify
that
the
p
oin
t
M
is
the
middle
of
the
segmen
t
[
B
K
]
.
4
Sho
w
that
the
line
(
J
L
)
is
parallel
to
the
line
(
B
C
)
.
5
Deduce
that
(
I
K
)
is
parallel
to
(
B
C
)
.
E.3672
Consider
the
figure
b
elo
w
:
Data
from
the
ab
o
v
e
figure
:
C
D
E
is
a
righ
t
triangle
in
C
.
A
b
elongs
to
the
segmen
t
[
C
D
]
,
B
b
elongs
to
the
segmen
t
[
C
E
]
,
and
the
line
(
AB
)
is
parallel
to
the
line
(
D
E
)
.
The
p
oin
t
F
is
the
middle
of
the
segmen
t
[
AC
]
and
the
p
oin
t
O
is
the
middle
of
[
AB
]
.
The
p
oin
t
G
is
the
symmetric
of
F
with
resp
ect
to
O
.
O
F
=
12
cm
;
AB
=
4.5
cm
;
AC
=
1.8
cm
The
follo
wing
questions
are
indep
enden
t
of
eac
h
other
:
1
What
is
the
nature
of
the
quadrilateral
AF
B
G
?
Justify
.
2
Sho
w
that
the
line
(
F
O
)
is
parallel
to
the
line
(
C
B
)
.
3
Calculate
the
length
C
D
.
4
Calculate
a
v
alue
appro
ximating
the
angle
to
the
nearest
degree
∠
B
AC
.
E.4792
Consider
the
parallelogram
AB
C
D
sho
wn
b
elo
w
où
:
AB
=
4
cm
;
I
is
the
middle
of
[
AB
]
.
The
p
oin
t
E
is
the
symmetric
of
the
p
oin
t
A
ab
out
the
p
oin
t
D
.
The
p
oin
t
J
is
the
p
oin
t
of
in
tersection
of
the
lines
(
E
I
)
and
(
C
D
)
.
The
p
oin
t
F
is
the
p
oin
t
of
in
tersection
of
the
lines
(
B
C
)
and
(
E
I
)
.
1
Determine
the
measure
of
segmen
t
[
D
J
]
.
2
Determine
the
measure
of
segmen
t
[
B
C
]
.
3
Determine
the
measure
of
segmen
t
[
E
J
]
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/4793
sacados/4793
A
B
C
D
E
I
J
F
3
cm
chapExoCorrec/4679
sacados/4679
Generalisation du theoreme des milieux au partage d'un segment en trois parts.
chapExoCorrec/3672
sacados/3672
C
A
B
D
E
O
F
G
chapExoCorrec/4792
sacados/4792
A
B
C
D
E
I
J
F
3
cm
4
cm
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