# 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.

**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 kiteβs sides using a string, how long should the string be?

**Q6: **

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

- A parallel to
- Bthe perpendicular bisector of
- C equal to
- D congruent to

**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 kiteβs sides using a string, how long should the string be?

**Q10: **

Given that is a kite, , and , find .