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TrapezoidA trapezoid is a quadrilateral with one pair of parallel lines
A trapezoid is a quadrilateral with one pair of parallel lines.
BasesThe two parallel lines are called the bases. In the picture below, BC and AD are the bases. The LegsThe two non parallel lines are the legs. In this picture, the legs are AB and CD.
Adjacent Angles of TrapezoidThe angles on the same side of a leg are called adjacent angles such as
Use adjacent angles theorem to calculate m
What is wrong with trapezoid LMNO pictured below? (Explain why LMNO cannot be a trapezoid based on the information provided)
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Answer
Midsegment of Trapezoid The midsegment of a trepzoid is
Use the midsegment theorem to determine the length of midsegment ON.
length of midsegment= (6+4)/2 = 5
Quick REVIEW of Midpoint.
The midpoint of the red segment pictured on the left is the point (A, 2b). The most important thing to remember is that a midpoint bisects a line (cuts a line into two equal halves). Show Midpoint 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.
What is the length of midsegment SV in the trapezoid below?
answer
Length of top base = 17-8 = 11
Length of bottom base= 20-0 =20 Sum of bases = 11 + 20 = 31 Divide sum of bases by 2 = ½(31) = 15.5 Therefore, the midsegment SV is 15.5 in length.
Is the reg segment below a midsegment?
It is not a true midsegment because its length does not equal half the sum of the lengths of the bases. Top
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