6.6 Trapezoids

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6.6 Trapezoids Kites

• -bases
• -legs
• -base angles
• -isosceles trapezoid
• -median of trapezoid
• -kite

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Definition of a Trapezoid

• A quadrilateral with exactly one pair of parallel
  sides.
• The parallel sides are called the bases.
• The non-parallel sides are called the legs.

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Isosceles Trapezoid ? A trapezoid with congruent
legs.
THEOREM
Both pairs of base angles in an isosceles
trapezoid are congruent.
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You may see algebra problems that ask you to
solve for variables in which algebraic
expressions are provided for the diagonals. Set
the expressions equal to one another and solve.
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The MEDIAN of a trapezoid is the segment that
joins the midpoints of the legs (non-parallel
sides) -sometimes called a midsegment
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THEOREM

• The MEDIAN or MIDSEGMENT of a trapezoid
• Is parallel to the bases
• Has a length equal to the average of the base
  lengths.

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B
A
M
N
C
D
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E X AMPLES
Find x and the lengths.
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E X AMPLES
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E X AMPLES
Find x and the lengths.
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E X AMPLES
Find x and the lengths.
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KITES
A quadrilateral with two pairs of consecutive
sides congruent and no opposite sides congruent.
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Mathxl Section 6.6