FIND MISSING SIDES OF A KITE WORKSHEET

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

Problem 1 :

sidelengthofkiteq1

Solution

Problem 2 :

sidelengthofkiteq2

Problem 3 :

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

sidelengthofkiteq3

Solution

Problem 4 :

Find the value of x in the following kite.

kitelengthq4

Solution

Problem 5 :

Find the perimeter of the kite.

perimeter-of-kite-q1

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.

problems-on-kite-q1

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

problems-on-kite-q2

Solution

Problem 9 :

Given kite ABCD, find X and Y

problems-on-kite-q3

Solution

Problem 10 :

Find x given that kite ABCD.

problems-on-kite-q4

Solution

Problem 11 :

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

problems-on-kite-q5

Solution

Answer Key

1)  AB = 4.5, AD = 4.5, BC = 4.2 and DC = 4.2

2)  BC and DC are 51.

3)  x = 5.

4)  x = 4

5) the perimeter of the kite is 190 cm.

6) Area of the kite =  32 square meter.

7) the length of the remaining three sides are 18 m, 29 m and 29 m.

8) x = 3, AB = = 20

9)  the values of X and Y are 40 and 50 respectively.

10) x = 12

11)  the values of x and y are 6 and 5 respectively.

Problem 1 :

The area of this shape is 48 ft2. Solve for x.

diagonalofkiteq1

Solution

Problem 2 :

The area of this shape is 32 in2. Solve for x. 

diagonalofkiteq2

Solution

Problem 3 :

Find the area of the kite given below,

diagonalofkiteq3

Solution

Problem 4 :

Find TR if QS = 24 ft 

missingdiagonalq1

Solution

Problem 5 :

Find VX if WU = 28 in.

missingdiagonalq2

Solution

Problem 6 :

Determine whether the points A(4, 5), B(−3, 3), C(−6, −13), and D(6, −2) are the vertices of a kite. Explain your reasoning,

Solution

Problem 7 :

Find the measure indicated.

MY = -2 + 8x and MK = 13x + 5. Find MY

solving-kite-with-diagonal-q6

Solution

Problem 8 :

Find m∠ SRT 

solving-kite-with-diagonal-q7

Solution

Problem 9 :

Kite's perimeter = 86 ft. Find the values of x and y.

solving-kite-with-diagonal-q8

Solution

Answer Key

1)  the value of x is 12

2) x = 2

3)  area of a kite is 100.

4) TR = 32

5) VX = 11 in

6) By observing this, it is clear that the diagonals are perpendicular and adjacent sides are equal. Then the given coordinates must create a kite.

7) length of MY is 22.

8) ∠SRT =  45

9)  the values of x and y are 6 and 5 respectively.

Find the area of each kite.

Problem 1 :

finding-area-ofkite-q1

Solution

Problem 2 :

finding-area-ofkite-q2.png

Solution

Problem 3 :

finding-area-ofkite-q3.png

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

finding-area-ofkite-q7.png

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.

Problem 1 : 

In the kite WXYZ shown below, find the length of each side. 

kitesingeometry4.png

Solution

Problem 2 : 

Find m∠G and m∠J in the diagram shown below. 

kitesingeometry5.png

Solution

Problem 3 :

ABCD is a kite. Find ∠A, ∠C and ∠D.

new-questions-on-problems-on-kite-q1

Solution

Problem 4 :

Find the value of the missing variable(s). Figure is a kite

new-questions-on-problems-on-kite-q2.png

Solution

Problem 5 :

In kite PQRS, SQ is perpendicular to PR and PO = OR. IF PQ = 5x - 10 and QR = 4x + 5. Find x, PO and QR.

new-questions-on-problems-on-kite-q3.png

Solution

Problem 6 :

In kite ABCD, DB is perpendicular to AC, if AC = 10 and BD = 7. Find the area of the kite ABCD.

new-questions-on-problems-on-kite-q4.png

Solution

Problem 7 :

Solve for x.

new-questions-on-problems-on-kite-q5.png

Solution

Problem 8 :

Find the perimeter of the kite.

new-questions-on-problems-on-kite-q6.png

Solution

Problem 9 :

Find the value of x.

new-questions-on-problems-on-kite-q7.png

Solution

Answer Key

1) 

WX  =  WZ  ≈  23.32 

YX  =  YZ  ≈  16.97

2)  m∠G  =  m∠J  =  84°

3) ∠A = 70

∠C = 125

∠D = 40

4)  x = 114 and y = 44

5)  PQ = QR = 65

6)  35 square units.

7)  the value of x is 3.

8) the required perimeter of the kite is 22.8 units.

9)  the value of x is 14.

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