Properties of Kites/Trapezoids Section6.6

These are not P-grams In parallelograms, all opposite sides are parallel In kites and trapezoids this is not true In kites, no sides are parallel In trapezoids only 1 pair of sides are parallel

Kites up close The longer diagonal is the Perpendicular bisector of the Shorter diagonal The diagonals create 2 pairs Of congruent right triangles There are also two Isosceles Triangles Created

Find the value of x,y,z in the Kite 6 Given JK = 28cm J K 8 X Y Z First Find Z Since JK = 28 Z must be Then use the Pythagorean Theorem to find X A 2 +B 2 =C =X = 100 SO 10 = X =10

Now find y = y = 436 So 28.88= y Y=28.9

Trapezoids Only 1 pair of Sides are parallel base side

Find the value of C 16cm 18cm 26cm 60 c If we imagine a dashed Line we create a special triangle 10 So C = 20

Isosceles Trapezoid Bases are parallel And Two sides are congruent Base angles are congruent Supplementary angles

Find the missing angles 74 x y z These are congruent These are Supp. X = 180 – 74 =

Challenge: find all variables x y z 84 Z=96 Y=73 23 X=42 42 First place any Other angles Since each Triangle Totals 180 Z and 84 Make a Straight line

Workbook page 42 Do problems 1-12