Kites and Squares

Kites

Properties of Kites

Properties

Sum of angles inside is 360

* 150 + 80 + 80 + 50 = 360

2 pair of adjacent congruent sides

*AB = BC and AD = DC

Multiple Choice

Find x

• 45

• 65

• 165

• 75

Multiple Choice

Find y

• 6

• 12

• 8

• 2

Multiple Choice

Find z.

• 9

• 12

• 15

• 3

Diagonals

Perpendicular

Long diagonals bisects short one

Long diagonal bisects angles

Multiple Choice

Find x.

• 23

• 90

• 67

• 157

Multiple Choice

Find y.

• 90

• 23

• 67

• 157

Multiple Choice

Find z.

• 90

• 67

• 23

• 157

Multiple Choice

Find a.

• 23

• 18

• 72

• 90

Multiple Choice

Find x

• 2

• 3

• 6

• Not Possible

Multiple Choice

Find y

• 5

• Not possible, long diagonal isn't bisected.

• 1

• 10

Angles between the non-congruent sides are congruent

Multiple Choice

Find x.

• 62

• 18

• 118

• 28

Multiple Choice

Find y.

• 77

• 154

• 64

• 32

Angles on the same side of the short diagonal are congruent

Multiple Choice

Find x.

• 21

• 30

• 61

• 54

Multiple Choice

Find y

• 32

• 21

• 53

• 11

Summary

• 2 pair of non-adjacent sides are congruent

• Long Diagonal bisects the Short Diagonal

• Long Diagonal bisects two angles

• Diagonls are perpendicular

• Angles between non-congruent sides are congruent

• Angles on the same side of the short diagonal are congruent

Multiple Choice

Find x.

• 64

• 14

• 26

• 52

Use triangles. You always have 90 degree angles in the middle.

Multiple Choice

Find y

• 26

• 18

• 64

• 52

angles on the same side of the short diagonal are congruent

Multiple Choice

Find z.

• 26

• 14

• 64

• 52

Long diagonal bisects the two angles.

Multiple Choice

Find a.

• 76

• 68

• 72

• 52

Use triangles! The angles in the middle are always 90 degrees.

Multiple Choice

Find b.

• 6

• 7

• 8

• 9

The short diagonal is bisected by the long diagonal.