Quarterly Assessment # 3

Assessment 3 For Students

1. Two triangles of the same area must be congruent. Give me a counterexample.

2. Find Area for the following. a. b. c.

15

6

16

8

10

9

Review QA # 1Review QA # 1

Find the Area of the circle if : a)Radius is 4 b) Radius is 8

c) Radius is 2 d) Radius is x

e) Radius is 2x f) Radius is 3x.

Review QA # 2Review QA # 2

Find the area for this parallelogram.1. A = 12; B = 92. A = 13.3 ; B = 7.63. A = 11.5 ; B = 13.54. A = 14 ; B = 7.5 5 . A = 11.7 ; B = 13

A=?

B=?

Review QA # 3Review QA # 3

Find the area of the shaded part.1. A = 12; B = 42. A = 13 ; B = 3

3. A = 6 ; B = 24. A = 5 ; B = 2 5 . A = 9 ; B = 3

10

|---B= ? ---|

A=?

Review QA # 4Review QA # 4

Bell WorkFind the area of the shaded part.

1. A = 11; B = 42. A = 15 ; B = 3

3. A = 9 ; B = 44. A = 7 ; B = 3 5 . A = 16 ; B = 6

10

|---B= ? ---|

A=?

If a square with an area of M square units has a circle inscribed in it. Then find the area of the circle.

a. M = 100b. M = 144c. M = 169d. M = 225e. M = 324f. M = 484

Review QA # 5Review QA # 5

Bell WorkIf a square with an area of M square units has a circle

inscribed in it. Then find the area of the circle.

a. M = 81b. M = 121c. M = 400d. M = 256e. M = 324f. M = 361

Bell WorkIf a square with an area of M square units has a circle

inscribed in it. Then find the area of the circle.

a. M = 100b. M = 121c. M = 441d. M = 484e. M = 576f. M = 900

What is the surface area?

1.X = 5 , Y = 4, Z = 32.X = 7, Y = 5, Z = 3 3.X = 12, Y = 10 , Z = 84.X = 11, Y = 9, Z = 75.X = 13, Y = 10, Z = 7

X Y

Z

Review QA # 6Review QA # 6

Bell Work

What is the surface area?

1.X = 6 , Y = 4, Z = 32.X = 7, Y = 6, Z = 4 3.X = 13, Y = 9 , Z = 84.X = 11, Y = 9, Z = 65.X = 13, Y = 8, Z = 5

X Y

Z

Bell Work

What is the surface area?

1.X = 6 , Y = 5, Z = 32.X = 8, Y = 6, Z = 4 3.X = 12, Y = 9 , Z = 84.X = 10, Y = 5, Z = 65.X = 11, Y = 8, Z = 5

X Y

Z

Bell Work

What is the surface area?

1.X = 16 , Y = 4, Z = 32.X = 7, Y = 16, Z = 4 3.X = 13, Y = 9 , Z = 64.X = 14, Y = 9, Z = 65.X = 17, Y = 8, Z = 5

X Y

Z

1. What is the area of an equilateral triangle with sides of length 6?

2. What is the area of an equilateral triangle with sides of length 10?

3. What is the area of an equilateral triangle with sides of length 12?

4. What is the area of an equilateral triangle with sides of length 14?

5. What is the area of an equilateral triangle with sides of length 16?

Review QA # 7Review QA # 7

Bell Work1. What is the area of an equilateral triangle with

sides of length 20?2. What is the area of an equilateral triangle with

sides of length 14?3. What is the area of an equilateral triangle with

sides of length 12?4. What is the area of an equilateral triangle with

sides of length 24?5. What is the area of an equilateral triangle with

sides of length 22?

Bell Work1. What is the area of an equilateral triangle with

sides of length 30?2. What is the area of an equilateral triangle with

sides of length 28?3. What is the area of an equilateral triangle with

sides of length 18?4. What is the area of an equilateral triangle with

sides of length 26?5. What is the area of an equilateral triangle with

sides of length 24?

What is the area of the Figure :

1.When x = 6, y = 12, z = 152.When x = 4, y = 9 , z = 123.When x = 5, y = 8 , z = 124.When x = 8, y = 12, z = 155.When x = 7, y = 12, z = 17

x

y

z

Review QA # 8Review QA # 8

Bell WorkWhat is the area of the Figure :

1.When x = 5, y = 12, z = 152.When x = 4, y = 9 , z = 133.When x = 6, y = 8 , z = 124.When x = 8, y = 12, z = 165.When x = 7, y = 12, z = 18

x

y

z

What is the area of the Figure :

1.When x = 5, y = 12, z = 152.When x = 4, y = 9 , z = 183.When x = 5, y = 8 , z = 144.When x = 8, y = 12, z = 135.When x = 7, y = 10, z = 17

x

y

zBell Work

Bell WorkWhat is the area of the Figure :

1.When x = 5, y = 12, z = 252.When x = 4, y = 9 , z = 133.When x = 6, y = 8 , z = 174.When x = 9, y = 12, z = 165.When x = 6, y = 12, z = 18

x

y

z

Bell WorkWhat is the area of the Figure :

1.When x = 5, y = 12, z = 152.When x = 4, y = 9 , z = 133.When x = 6, y = 8 , z = 124.When x = 8, y = 12, z = 165.When x = 7, y = 12, z = 18

x

y

z

What is the lateral area of the cylinder below? LA= 2 x (radius) (π) x (Height)

1.X = 8 ; Y = 122.X = 9 ; Y = 143.X = 7; Y = 134.X = 4 ; Y = 155.X = 10 ; Y = 20

X

Y

Review QA # 9Review QA # 9

Bell WorkWhat is the lateral area of the cylinder

below? LA= 2 x radius x height x π

1.X = 8 ; Y = 102.X = 11 ; Y = 143.X = 8; Y = 134.X = 5 ; Y = 155.X = 9 ; Y = 20

X

Y

Bell WorkWhat is the lateral area of the cylinder

below? LA= 2 x radius x height x π

1.X = 12 ; Y = 182.X = 11 ; Y = 203.X = 8; Y = 164.X = 11 ; Y = 255.X = 9 ; Y = 22

X

Y

What is the volume of the Ball? Hint:

1. X = 102.X = 143.X = 84.X = 65.X = 40

X

Review QA # 10Review QA # 10

Bell WorkWhat is the volume of the Ball? Hint:

1. X = 122.X = 163.X = 184.X = 225.X = 60

X

Bell WorkWhat is the volume of the Ball? Hint:

1. X = 102.X = 263.X = 324.X = 305.X = 18

X

Bell WorkWhat is the volume of the Ball? Hint:

1. X = 122.X = 163.X = 184.X = 225.X = 60

X

In the figure below, B is the midpoint of AC, C is the midpoint of BD, and CDEF is a square whose area is X.

Determine the area of triangle ABF if :a.X = 144 b. X= 225 c. X = 324 d. X = 400Determine the area of triangle BCF if : a. X = 121 b. X= 225 c. X = 256 d. X = 625

Review QA # Review QA # 1111

Bell Work

In the figure below, B is the midpoint of AC, C is the midpoint of BD, and CDEF is a square whose area is X.

Determine the area of triangle ABF if :a.X =169 b. X= 256 c. X = 324 d. X = 441Determine the area of triangle BCF if : a. X = 81 b. X= 225 c. X = 361 d. X = 576

Bell Work

In the figure below, B is the midpoint of AC, C is the midpoint of BD, and CDEF is a square whose area is X.

Determine the area of triangle ABF if :a.X =625 b. X= 256 c. X = 361 d. X = 484

Determine the area of triangle BCF if : a. X = 196 b. X= 1296 c. X = 961 d. X = 1089

• The figure is a pyramid with a square base with sides X. If the volume of the pyramid is equal to Y with the height of Z units, what does side X equal?

1.When Y is 66 and Z is 18?2.When Y is 90 and Z is 9?3.When Y is 50 and Z is 6?4.When Y is 88 and Z is 6?5.When Y is 120 and Z is 9?

Hint : V = 1/3 (Base) (height); Base is x2

Review QA # Review QA # 1212

Bell Work• The figure is a pyramid with a square base with

sides X. If the volume of the pyramid is equal to Y with the height of Z units, what does side X equal?

1.When Y is 70 and z is 21?2.When Y is 93 and Z is 9?3.When Y is 60 and Z is 6?4.When Y is 95 and Z is 5?5.When Y is 156 and Z is 9?

Hint : V = 1/3 (Base) (height); Base is x2

Bell Work• The figure is a pyramid with a square base with

sides X. If the volume of the pyramid is equal to Y with the height of Z units, what does side X equal?

1.When Y is 96 and z is 24?2.When Y is 114 and Z is 18?3.When Y is 60 and Z is 12?4.When Y is 208 and Z is 39?5.When Y is 147 and Z is 21?

Hint : V = 1/3 (Base) (height); Base is x2

Volume = πr2h/ 3• A cone-shaped cup is filledWater as shown. Which of the Following statement is true? A.The volume of the water is one-

fifth the volume of the cup.

B.The volume of the cup is 10 times The volume of the water.

C.The volume of the cup is 50 times the volume of the water.

D.The volume of the cup is 125 times the volume of the water.

5h

5r

Review QA # Review QA # 1313

• A cone-shaped cup is filled with Water as shown. Which of the Following statements is true? A.The volume of the water is one-

sixth the volume of the cup.

B.The volume of the cup is 12 times The volume of the water.

C.The volume of the cup is 36 times the volume of the water.

D.The volume of the cup is 216 times the volume of the water.

6h

6r

Warm Up # 8G : Volume = πr2h/ 3

Find the following: 1.Sin x = 2.Cos x = 3.Tan x = 4.Sin y = 5.Cos y = 6.Tan y =

Y15

9

12

Review QA # Review QA # 1414

Bell Work1. Find MO? Using

a. Sin

b. Cos2. Find MN? Using

a. Sin b. Cos

15

31

1. Find MO? Using a. Sin

b. Cos2. Find MN? Using

a. Sin b. Cos

18

41

Review QA # Review QA # 1515

• Find j when 1.y = 20 2.y = 163.y = 264.y = 185.y = 12• Find y when 1.J = 5 3. J = 13 5. J = 8√52.J = 10 4. J = 8√2 6. J = 8√12

Y

Review QA # Review QA # 1616

Find the Height….?1. When x = 100 2. When x = 3003. When x = 4004. When x = 5005. When x = 600Find base…..?6-10. When x = 100,

300, 400 , 500, and 600

300m

55

55

55

55

0.82

0.57

1.43

Height ? x

base ?

Review QA # Review QA # 1717

• Find ….1.Cos x2.Sin x3.Tan xIs y2 = 52 – z2 true?

x

y

z

5

Review QA # Review QA # 1818

• What is the approximate distance between the library and the museum? Then find distance between Library & Zoo?

1.If x is 20?2.If x is 30? 3.If x is 40? 4.If x is 50?5.If x is 60?

x

40

404040

0.640.770.84

Review QA # Review QA # 1919

Sin A = 0.64; What is the length of AC…?

1.If x = 102.If x = 203.If x = 304.If x = 405.If x = 50

x

Review QA # Review QA # 2020

• Find x and y.1.SL = 5, LL = y, H= x2.SL = 4, LL = y ,H= 2x + 4 3.SL = x, LL = y, H= 4x – 104.SL = 3x + 5, LL = y ,H= 7x + 4 5.SL = 4x + 6, LL = y, H = 10x + 2

Short leg

Hypotenuse

Long leg

Review QA # Review QA # 2121

• Use π = 22/ 7 Volume = r2π height1.What is the amount of soup this can hold?

1. X = 4, Y = 142. X = 5 , Y = 73. X = 8, Y = 21

2. Find the area of the label? Lateral Area = 2r π height

1. X = 4, Y = 142. X = 5 , Y = 73. X = 8, Y = 21

x

y

Review QA # Review QA # 2222