www.iTutoring.com -­‐ NOTES Trapezoid Midsegment Theorem Name _________________________________ Date ___________________ Period _______ Midsegment of a Trapezoid
The segment that joins the midpoints of the trapezoid’s legs.
XY is the midsegment of trapezoid ABCD
A
X
B
Y
D
C
Trapezoid Midsegment Theorem
1) The midsegment of the trapezoid is parallel to the bases
A
X
D
B
XY ║ AB and XY ║ DC
Y
C
Trapezoid Midsegment Theorem
1) The midsegment of the trapezoid is parallel to the bases
2) The measure of the midsegment is equal to one-half the sum of the
measures of the bases.
14
A
X
B
XY =
1
(AB + DC)
2
Y
22
D
C
Trapezoid Midsegment Theorem
1) The midsegment of the trapezoid is parallel to the bases
2) The measure of the midsegment is equal to one-half the sum of the
measures of the bases.
A
X
3x – 12
14
B
Y
2x + 10
D
C
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Trapezoid Midsegment Theorem Pg. 2 The vertices of trapezoid ABCD are A(6,-2), B(2,2),
C(-3,2) and D(-5,-2). Determine the length of the
midsegment of trapezoid ABCD.
Trapezoid Midsegment Theorem
1) The midsegment of the trapezoid is parallel to the bases
2) The measure of the midsegment is equal to one-half the sum of the
measures of the bases.
A
B
4
X
3
2
1
D
8
XY ║ AB and XY ║ DC
Y
7
XY =
6
1
(AB + DC)
2
5
C
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Trapezoid Midsegment Theorem Pg. 3