Mathematics
Grade9
Easy
Question
In trapezoid FLEX, the length of midsegment is ___________.
- 12
- 10
- 19
- 21
Hint:
The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
In trapezoid ABCD below, segment PQ is the midsegment.
The length of the midsegment of trapezoid is half the sum of the lengths of the two parallel sides. In the figure above:
PQ= 
The correct answer is: 21
Midsegment Theorem : In a trapezoid, the midsegment is parallel to the bases, and the length of the midsegment is half the sum of the lengths of the bases.
In the figure above, YZ is the midsegment
YZ = 
× (FL+EX)
YZ= × (22+10)
YZ = 21 cm
Thus, in trapezoid FLEX, the length of midsegment is 21cm.
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