6-6 p.389. Trapezoids A quadrilateral with exactly ONE pair of parallel sides Parallel sides are called bases Other 2 sides are called legs Angles that.

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Presentation transcript:

6-6 p.389

Trapezoids A quadrilateral with exactly ONE pair of parallel sides Parallel sides are called bases Other 2 sides are called legs Angles that share a base of a trapezoid are called base angles (2 pair) Base Leg Base Angles

Isosceles trapezoid Definition- A trapezoid with congruent legs Base angles of an isosceles trapezoid are congruent (Thm 6-19) Diagonals of an isosceles trapezoid are congruent (Thm 6-20) Base Leg

Median (midsegment) of a trapezoid Definition- segment that joins the midpoints of the legs of a trapezoid The median (midsegment) of a trapezoid (Thm 6-21) Is parallel to the bases (MN||DC) Has a length equal to the average of the base lengths MN= (AB + DC)/2 N M A B DC

Example For the trapezoid and its median (midsegment) shown above, find x. x = ( )/2 = x 30

Kites Definition- A kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent. Diagonals of a kite are perpendicular (Theorem 6-22)

Example

Homework p #7-15 odd, all p.396 #47-52

More Practice Properties of Trapezoids worksheet (1-18 all) Trapezoids worksheet

Answers to Trapezoids worksheet ProblemAnswer 1 x=16 2 x=17 3 x=4 4 x=8 5 x=2 6 x=78 7 m<DEF=63m<D=117 8 m<B=72m<C=108 9 EF=13 10 DC=15 11 m<A=65m<D=115m<C= <B, <DEF, <CFE

Answers to Trapezoids worksheet ProblemAnswer 13LM=10GH=15 14JK=6GH=18 15x=12 16LM=24JK=12 17JK=2xx=6/5