1. Properties of Kites/Trapezoids Section6.6

2. 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

3. 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

4. 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 20 20 Then use the Pythagorean Theorem to find X A 2 +B 2 =C 2 6 2 +8 2 =X 2 36+64= 100 SO 10 = X =10

5. 6 8 10 20 Now find y 6 2 +20 2 = y 2 36 + 400 = 436 So 28.88= y Y=28.9

6. Trapezoids Only 1 pair of Sides are parallel base side

7. Find the value of C 16cm 18cm 26cm 60 c If we imagine a dashed Line we create a special 30-60-90 triangle 10 So C = 20

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

9. Find the missing angles 74 x y z These are congruent These are Supp. X = 180 – 74 = 106 106 74 106

10. Challenge: find all variables 42 73 23 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

11. Workbook page 42 Do problems 1-12