FIND MISSING ANGLES OF KITES WORKSHEET

Find the measures of the numbered angles in each kite.

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

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Problem 8 :

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Problem 9 :

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Problem 10 :

Given WXYZ is a kite, m∠YWX = 2x + 30, and m∠WYX = 4x. Find m∠YWX.

Solution

Problem 11 :

Find m∠D in the kite shown

Solution

Problem 12 :

In a kite, the measures of the angles are 3x °, 75°, 90°, and 120°. Find the value of x. What are the measures of the angles that are congruent?

Solution

Find the area of each kite.

Problem 1

Problem 2 :

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Problem 3 :

Solution

Problem 4 :

The area of a kite is 120 cm². The length of one diagonal is 20 cm. what is the length of the other diagonal?

a) 12cm     b) 20 cm       c) 24 cm     d) 48 cm

Solution

Problem 5 :

A kite has vertices at the points (2, 0) (3, 2) (4, 0) and (3, -3). Find the perimeter and area of the kite.

Solution

Problem 6 :

The area of a kite is 324 square inches. One diagonal is twice as long as the other diagonal. Find the length of each diagonal.

Solution

Problem 7 :

The vertices of the quadrilateral are A(2, 8), B (7, 9), C(11, 2) and D(3, 3). Show that ABCD is a kite and find the area of the kite.

Solution

Problem 8 :

You and a friend are building a kite. You need a stick to place from X to W and a stick to place from W to Z to finish constructing the frame. You want the kite to have the geometric shape of a kite. How long does each stick need to be? Explain your reasoning

Solution

Answer Key

1) area of a kite is 80 in².

2) area of a kite is 18 m².

3) area of a kite is 24 ft².

4) length of the other diagonal is12 cm.

5) perimeter of the kite is 10.78 units.

6)  the lengths of diagonals are 18 inches and 36 inches.

7) 26.3 units.

8) Since it is kite, pair of sides will be equal.

Find the values of the variables. Then find the lengths of the sides.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Determine the value of x for which EFGH is a kite.

Solution

Problem 4 :

Find the value of x in the following kite.

Solution

Problem 5 :

Find the perimeter of the kite.

Solution

Problem 6 :

Scientists are researching solar sails, which move spacecraft using radiation pressure from sunlight. What is the area of the solar sail shown? Explain your reasoning.

Solution

Problem 7 :

You use 94 inches of plastic to frame the perimeter of a kite. One side of the kite has a length of 18 inches. Find the length of each of the three remaining sides

Solution

Problem 8 :

Given kite ABCD, find AB

Solution

Problem 9 :

Given kite ABCD, find X and Y

Solution

Problem 10 :

Find x given that kite ABCD.

Solution

Problem 11 :

Kite's perimeter = 86 ft, find x and y

Solution