www.iTutoring.com -­‐ NOTES Proportional Medians of Similar Triangles Name _________________________________ Date ___________________ Period _______ If two triangles are similar, then the measures of their corresponding medians are
proportional to the measures of the corresponding sides.
A
If ∆ABC ~ ∆XYZ...
B
D
X
Proportional Sides
C
AB
XY
Y
=
BC
YZ
=
AC
XZ
=
AD
XW
Z
W
If two triangles are similar, then the measures of their corresponding medians are
proportional to the measures of the corresponding sides.
A
Find the measure of AD
10
B
D
X
15
Y
C
12
W
Z
If two triangles are similar, then the measures of their corresponding medians are
proportional to the measures of the corresponding sides.
A
Find the measure of
24
AD and XW
x
B
X
C
D
36
x+8
Y
Z
W
If two triangles are similar, then the measures of their corresponding medians are
proportional to the measures of the corresponding sides.
A
If ∆ABC ~ ∆XYZ...
B
X
D
Proportional Sides
C
AB
XY
Y
W
Z
=
BC
YZ
=
AC
XZ
=
AD
XW
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Proportional Medians of Similar Triangles Pg. 2