FIND MISSING DIAGONAL OF KITE WORKSHEET

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Find the length of the missing diagonal in each kite.

Problem 1 :

Find HF if GE = 43 yd.

Solution

Problem 2 :

Find NL if MK = 18 in.

Solution

Problem 3 :

Find BD if AC = 47 yd.

Solution

Problem 4 :

Find TV if SU = 30 ft.

Solution

Problem 5 :

Find EG if DF = 15 ft.

Solution

Problem 6 :

Find XZ if WY = 32 in.

Solution

Problem 7 :

Find QS if PR = 11 yd.

Solution

Problem 8 :

The area of rhombus 90 square units. If one diagonal is 10 units, find the length of the other diagonal.

Solution

Problem 9 :

The rhombus has perimeter of 100 meters and a diagonal 30 meters long. Find the area of the rhombus.

Solution

Problem 10 :

The rhombus has an area of 20 and one diagonal of length 12. Find the length of the other diagonal.

Solution

Problem 11 :

The length of one of its diagonals of a kite is 4 cm longer than twice the length of the other diagonal. The area of the kite is 15 cm2. Find the length of the other diagonal.

Solution

Answer Key

1)  HF = 12 yd.

2)  NL = 36 in.

3)  BD = 21 yd.

4)  TV = 10.2 ft.

5)  EG = 48 ft

6)  XZ = 27 in.

7)  QS = 46 yd.

8) Length of the other diagonal d2 = 18

9) Area of rhombus = 450√3

10) the length of other diagonal is 3.3 units.

11)  the length of diagonals are 10 units and 3 units.

Find the area of each kite.

Problem 1 :

areaofkiteq1

Solution

Problem 2 :

areaofkiteq2.png

Solution

Problem 3 :

areaofkiteq3

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

area-of-kite-nq2.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) Perimeter of kite =  26.3 units.

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

Problem 1 :

Kite Perimeter = _____

geo-pro-using-properties-of-kite-q1

Solution

Problem 2 :

Kite x = _____ y = ____ 

geo-pro-using-properties-of-kiteq-2

Solution

Problem 3 :

Kite's Perimeter = 86 ft. 

geo-pro-using-properties-of-kite-q3

Solution

Problem 4 :

Kite

geo-pro-using-properties-of-kite-q4

Solution

Problem 5 :

Kite

geo-pro-using-properties-of-kite-q5

Solution

Problem 6 :

If WXYZ is a kite, find m ∠XYZ.

geo-pro-using-properties-of-kite-q6

Solution

Problem 7 :

If MNPQ is a kite, find NP.

geo-pro-using-properties-of-kite-q7

Solution

Problem 8 :

Given kite ADEC. Find AB. Given that 

CB = 3x + 6, BD = 8x - 9 and AB = 7x - 1

probems-on-properties-of-kite-q1

Solution

Problem 9 :

Given kite ABCD. Find X and Y.

questions-on-properties-of-kite-q2

Solution

Problem 10 :

Find X given kite ABCD.

probems-on-properties-of-kite-q2.png

Solution

Problem 11 :

Find x and y.

probems-on-properties-of-kite-q3.png

Solution

Answer Key

1) the perimeter of a kite is 64.

2) the values of x and y is 72º and 61º.

3)  the values of x and y is 6 and 5.

4) x = 21º

5) the values of x and y is 13º and 31º.

6) ∠X = 121º, Y = 45º, ∠Z = 121º

7) NP = 10

8) the length of AB is 20 units.

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

10)  the values of x is 12.

11)  the values of x and y are 64 and 43 respectively.

Find the length of the missing diagonal in each kite.

Problem 1 :

Find TR if QS = 24 ft.

findingthemissingdiagofkiteq1

Solution

Problem 2 :

Find VX if WU = 28 in.

findingthemissingdiagofkiteq2

Solution

Problem 3 :

Find HF if GE = 43 yd.

findingthemissingdiagofkiteq3

Solution

Problem 4 :

Find NL if MK = 18 in.

findingthemissingdiagofkiteq4

Solution

Problem 5 :

Find BD if AC = 47 yd.

findingthemissingdiagofkiteq5

Solution

Problem 6 :

Find TV if SU = 30 ft.

findingthemissingdiagofkiteq6

Solution

Problem 7 :

Find EG if DF = 15 ft.

findingthemissingdiagofkiteq7

Solution

Problem 8 :

Find XZ if WY = 32 in.

findingthemissingdiagofkiteq8

Solution

Problem 9 :

Find QS if PR = 11 yd.

findingthemissingdiagofkiteq9

Solution

Answer Key

1) the length of other diagonal of a kite TR is 32 ft.

2) the length of other diagonal of a kite VX is 11 in.

3)  the length of other diagonal of a kite HF is 12 yd.

4) the length of other diagonal of a kite NL is 36 in.

5)  the length of other diagonal of a kite BD is 21 yd.

6) the length of other diagonal of a kite TV is 10.2 ft.

7)  the length of other diagonal of a kite EG is 48 ft.

8) the length of other diagonal of a kite XZ is 27 in.

9) the length of other diagonal of a kite QS is 46 yd.

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