# Worksheet: Properties of Kites

In this worksheet, we will practice using the properties of kites, the Pythagorean theorem, and the polygon interior angles sum theorem to find measures in kites.

Q1:

If is a kite, find . • A
• B22
• C17
• D
• E

Q2:

Given that is a kite, , and , find . Q3:

A kite has vertices at the points , , , and .

Work out the perimeter of the kite. Give your solution to one decimal place.

Work out the area of the kite.

Q4:

Given that is a kite, where and , find . Q5:

Chloe wants to design a kite with two diagonals of lengths 46 cm and 78.2 cm. If she wants to join the midpoints of the kite’s sides using a string, how long should the string be? Q6:

Complete the following: If is a quadrilateral in which and , then is .

• Aequal to
• Bthe perpendicular bisector of
• Cparallel to
• Dcongruent to

Q7:

If is a kite, find . • A26
• B31
• C24
• D25
• E

Q8:

If is a kite, find . • A
• B24
• C19
• D
• E

Q9:

Sophia wants to design a kite with two diagonals of lengths 74 cm and 162.8 cm. If she wants to join the midpoints of the kite’s sides using a string, how long should the string be? Q10:

Given that is a kite, , and , find . 