High School

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Question 1 (Scale Factor MC)

A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimeters and a width of 5 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3:4?

A. 32 cm
B. 24 cm
C. 18 cm
D. 14 cm

Question 2 (Scale Factor MC)

A triangle with a perimeter of 36 meters was created from a triangle with a perimeter of 3 meters using a scale factor. What is the scale factor?

A. 108:1
B. 72:1
C. 30:1
D. 12:1

Question 3 (Scale Factor LC)

Figure 1 and Figure 2 are right triangles. The legs of Figure 1 are 3 units long, and the legs of Figure 2 are 4 units long. What scale factor was used to produce Figure 2 from Figure 1?

A. 3
B. 4
C. 3/4
D. 4/3

Question 4 (Scale Factor MC)

A rectangular flag is 80 centimeters by 92 centimeters. What are the dimensions of a scale drawing of the flag using the scale 1:4?

A. 20 cm by 23 cm
B. 320 cm by 360 cm
C. 8 cm by 9.2 cm
D. 1.15 cm by 4.35 cm

Question 5 (Multiple Choice Worth 2 points) (Scale Factor MC)

A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?

A. 9/7
B. 7/9
C. 31.5/7
D. 7/31.5

Question 6 (Essay Worth 4 points) (Scale Factor HC)

A rectangular oil painting is 14 inches wide and 24 inches long. A museum wants to create a larger print of the painting using a scale factor of 3.

Part A: What are the dimensions of the print, in feet? Show every step of your work. (2 points)

Part B: What is the area of the print, in square feet? Show every step of your work. (2 points)

Answer :

question 1, The perimeter of the door will be equal to 24 cm. Hence, option B is correct.

question 2, We are given a triangle with a perimeter of 3 meters from which an another triangle with a perimeter of 36 meters was created. Let the scale factor be 'x' So, 3x=36 x=12 Hence, the scale factor is 12:1

question 3, D

question 4, Given that, A rectangular flag is 80 centimeters by 92 centimeters. we need to find dimensions of a scale drawing of the flag using the scale 1:4,

Therefore,

80 / 92 = 20 / 23

Hence, the dimensions for the scale drawing of the flag is 20 cm by 23 cm.

question 4, 31.5/7 or 4.5

By simply taking the width after it was enlarged and dividing it by the width before it was enlarged we can find the scale factor that was used. In this case it would be 31.5 (width after)/ 7 (width before) which gives us a scale factor of 31.5/7. Simplifying would yield a scale factor of 4.5 times.

question 5,

Part A: 3.5x6 feet

14x3=42 24x3=72

42/12=3.5 72/12=6

Part B: 21 square feet

3.5x6=21

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Rewritten by : Barada