USING PROPERTIES OF KITES WORKSHEET

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Find the measures of the numbered angles in each kite.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

Given WXYZ is a kite, mYWX = 2x + 30, and mWYX = 4x. Find mYWX.

sidelengthofkiteq4

Solution

Answer Key

1) 

1 = 90º

DAO = 68º

2) 

1 = COD = 90º

2 = ODC

3 = OCD = 45º

ODC = 45º

3) A = m C = 108º

4) CDO = 26º OCB = 64º

5) OAB = 40ºCOB = COD = 90º

6) COB = AOB = 90º2 = OCB = 55º, 4 = OAB = 55º5 = OBA = 35º

7) 1 = 90ºOCB = 52ºOCD = 37ºOCB = 52º5 = CDO = 53º

8) 1 = 2 = 3 = 4 = 90,  7 = OAB = 56, 8 = OAD = 44, 9 = OCB = 56

10 = OCD = 44

9) A = m C = 112º

10) x = 15

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.

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.

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

Problem 1 :

sidelengthofkiteq1

Solution

Problem 2 :

sidelengthofkiteq2

Solution

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

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

problems-on-kite-q2.png

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

Solution

Problem 9 :

Given kite ABCD, find X and Y

problems-on-kite-q3.png

Solution

Problem 10 :

Find x given that kite ABCD.

problems-on-kite-q4.png

Solution

Problem 11 :

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

problems-on-kite-q5.png

Solution

Answer Key

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

2) BC and DC are 51.

3) the value of x is 5.

4) x = 4

5) the perimeter of the kite is 190 cm.

6) Area of kite = 32 square meter.

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

8) x = 3, the length of AB = 7x - 1

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

10) the value of x is 12.

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

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) Area of kite = 39 square units

Perimeter of kite = = 26.3 units.

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

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