Worksheet: Properties of Kites

In this worksheet, you can use 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 .

Q2:

If is a kite, find .

Q3:

If is a kite, find .

Q4:

Given that is a kite, where and , find .

Q5:

Given that is a kite, , and , find .

Q6:

Given that is a kite, , and , find .

Q7:

is a kite, where , , and . Determine the area of the kite to the nearest tenth.

Q8:

is a kite, where , , and . Determine the area of the kite to the nearest tenth.

Q9:

is a kite where and its area equals 115 in². Determine the length of .

Q10:

Given and , find the area of the kite .

Q11:

What is the area of the given figure to the nearest tenth of a foot?

Q12:

What is the area of the given figure to the nearest tenth of a foot?

Q13:

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.

Q14:

Find the area of the shaded region.

Q15:

Find the area of the shaded region.

Q16:

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?

Q17:

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?