# Lesson Worksheet: Properties of Kites Mathematics

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.

**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 .

- Aequal to
- Bthe perpendicular bisector of
- Cparallel to
- Dcongruent 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?

**Q11: **

The following figure is a kite where , , and . Find the perimeter of the kite to 2 decimal places.