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On the sides LM and LN of triangle LMN, the points X… | StemPy Lab
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On the sides LM and LN of triangle LMN, the points X and Y are marked with LX = 4 cm, XM = 6 cm, LY = 6 cm and YN = 9 cm. Is XY ∥ MN?
Mathematics
Medium
High School (9–10)
General
Geometry › Triangles
Board Exam
SAT
Created by
StemPy Lab
On the sides LM and LN of triangle LMN, the points X and Y are marked with
L
X
=
4
cm
LX = 4\ \text{cm}
L
X
=
4
cm
,
X
M
=
6
cm
XM = 6\ \text{cm}
X
M
=
6
cm
,
L
Y
=
6
cm
LY = 6\ \text{cm}
L
Y
=
6
cm
and
Y
N
=
9
cm
YN = 9\ \text{cm}
Y
N
=
9
cm
. Is
X
Y
∥
M
N
XY \parallel MN
X
Y
∥
M
N
?
No, because
L
X
LX
L
X
is not equal to
L
Y
LY
L
Y
Yes, because
L
X
X
M
=
L
Y
Y
N
\dfrac{LX}{XM} = \dfrac{LY}{YN}
X
M
L
X
=
Y
N
L
Y
Yes, because
L
X
+
X
M
=
L
Y
+
Y
N
LX + XM = LY + YN
L
X
+
X
M
=
L
Y
+
Y
N
No, because
X
Y
XY
X
Y
is shorter than
M
N
MN
M
N
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