Bases - The two parallel lines are called the bases
The Legs - The two non parallel lines are the legs.Example 1 of legs and the Bases Example 2 of legs and the Bases
Adjacent Angles of Trapezoid
$$ \angle ZWX = 180 − 44 = 136° $$
$$ \angle MLO = 180-124 = 56° $$
Area of Trapezoid
- Area = 7 × ½(4 +8)
- 7 × ½(12)
- 7 ×6
- 42 square feet
Midsegment of Trapezoid
The midsegment of a trapezoid is:
- parallel to both bases
- has length equal to the average of the length of the bases
To calculate the length of the midsegment find the average of the bases length of midsegment = (6+4)/2 = 5
The midsegment of a trapezoid is the segment that joins the midpoints of the nonparallel sides of a trapezoid.
In the trapezoid below, the midpoints of the non-parallel sides are points S and V. The midsegment is the red line segment from S to V.
The midsegment below can be found by
- calculating the lengths of the bases
- calculating the sum of the bases
- 9+45 = 54
- Dividing the sum by 2
- ½(54) = 27
The length of the midsegment is 26.5
Length of top base = 17-8 = 9
Length of bottom base = 20-0 =20
Sum of bases = 9 + 20 = 29
Divide sum of bases by 2 = ½(29) = 14.5
Therefore, the midsegment SV is 14.5 in length.
It is not a true midsegment because its length does not equal half the sum of the lengths of the bases.