Unit 7 Test (stalions Simmemon)
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Scale factor, similar figures, area ratios and more!
- 1.A square in a coordinate plane undergoes a 125% dilation with respect to the origin. One corner of the square originally had coordinated (20,40). What are the coordinates of the dilated image of this corner?
- A.
(20,50)
- B.
(25,40)
- C.
(25,50)
- D.
(145,165)
- 2.A coffee mug is pushed across a kitchen table. What type of transformation is that?
- A.
Dilation
- B.
Reflection
- C.
Rotation
- D.
Translation
- 3.Which statement is true?
- A.
A) If figures are similar, they must be congruent.
- B.
B) If figures are similar, they cannot be congruent.
- C.
C) If figures are congruent, they must be similar.
- D.
D) If figures are congruent, they cannot be similar.
- 4.
![Triangle BCD is similar to triangle MNO. Which proportion could be used to find the length of CD?]( "Triangle BCD is similar to triangle MNO. Which proportion could be used to find the length of CD?")
- Triangle BCD is similar to triangle MNO. Which proportion could be used to find the length of CD?
- A.
See above
- B.
See above
- C.
See above
- D.
See above
- 5.
![Using a scale factor of 2.5. Which shape is similar to the original shape below?]( "Using a scale factor of 2.5. Which shape is similar to the original shape below?")
Using a scale factor of 2.5. Which shape is similar to the original shape below?- A.
See above
- B.
See above
- C.
See above
- D.
See above
- 6.Which units of measurement would be MOST useful for measuring the length of a swimming pool?
- A.
Centimeters
- B.
Kilometers
- C.
Meters
- D.
Millimeters
- 7.Scott drew a picture on a piece of paper. The picture measured 11 inches tall and 8.5 inches across. Then Scott photocopied his paper, using a 70% scale factor setting. To the nearest square inch, what is the area of the photocopied picture?
- A.
70 square inches
- B.
65 square inches
- C.
50 square inches
- D.
46 square inches
- 8.A rectangle has an area of 30 square feet. A similar rectangle has an area of 270 square feet. What is the scale factor for these similar rectangles?
- A.
3
- B.
9
- C.
81
- D.
240
- 9.The point (7, -3) is translated 4 units to the left and 10 units down. What are the coordinates of the translated point?
- A.
(11,-7)
- B.
(11,-13)
- C.
(3,-7)
- D.
(3,-13)
- 10.Which of the following is equivalent to 4 tons?
- A.
400 pounds
- B.
2,000 pounds
- C.
4,000 pounds
- D.
8,000 pounds
- 11.How many liters are there in 5,300 milliliters?
- A.
0.53 Liters
- B.
5.3 Liters
- C.
53 Liters
- D.
53,000 Liters
- 12.
![The scale drawing shows a lawn. The longest side is 2 ¼ inches. What What is the actual length, in feet, of the longest side of the lawn?]( "The scale drawing shows a lawn. The longest side is 2 ¼ inches. What What is the actual length, in feet, of the longest side of the lawn?")
The scale drawing shows a lawn. The longest side is 2 ¼ inches. What What is the actual length, in feet, of the longest side of the lawn?- A.
30 feet
- B.
36 feet
- C.
60 feet
- D.
54 feet
- 13.
![The map below shows a distance between the towns of Hamlet and Gaineston on a map. The distance, on the map, between these two towns is 4.5 centimeters. The actual distance between the two towns is 9 kilometers. What is the scale for this map?]( "The map below shows a distance between the towns of Hamlet and Gaineston on a map. The distance, on the map, between these two towns is 4.5 centimeters. The actual distance between the two towns is 9 kilometers. What is the scale for this map?")
The map below shows a distance between the towns of Hamlet and Gaineston on a map. The distance, on the map, between these two towns is 4.5 centimeters. The actual distance between the two towns is 9 kilometers. What is the scale for this map?- A.
A) 1 centimeter = 2 kilometers
- B.
B) 1 centimeter = 3 kilometers
- C.
C) 1 centimeter = 4 kilometers
- D.
D) 1 centimeter = 9 kilometers
- 14.
- A statue is 64 meters tall. A scale drawing of the statue is 16 centimeters tall. Which is the scale of the drawing?
- A.
1 m = 48 cm
- B.
1 cm = 4 m
- C.
1 m = 4 cm
- D.
1 cm = 48 m
- 15.
![The distance from Eastville to Mathville is 4.5 inches on the map. Using the scale, what is the distance in miles between the two cities?]( "The distance from Eastville to Mathville is 4.5 inches on the map. Using the scale, what is the distance in miles between the two cities?")
The distance from Eastville to Mathville is 4.5 inches on the map. Using the scale, what is the distance in miles between the two cities?- A.
0.75 miles
- B.
10.5 miles
- C.
27 miles
- D.
1.5 miles
- 16.
![If ABCD is similar to EFGH, what is the length of side FG?]( "If ABCD is similar to EFGH, what is the length of side FG?")
If ABCD is similar to EFGH, what is the length of side FG?- A.
14 in
- B.
8 in
- C.
6 in
- D.
12.5 in
- 17.
![What is the scale factor of the following set of similar figures?]( "What is the scale factor of the following set of similar figures?")
What is the scale factor of the following set of similar figures?- A.
4:3
- B.
1:1
- C.
2:3
- D.
1:2
- 18.
- A trapezoid has an area of 50 sq in. A similar trapezoid has an area of 200 sq in. What is the scale factor of these similar trapezoids?
- A.
2
- B.
4
- C.
16
- D.
150
- 19.
![Spencer drew a rectangle similar to but larger than the one shown below. Spencer used a scale factor of 300%. What was the perimeter of Spencer’s rectangle?]( "Spencer drew a rectangle similar to but larger than the one shown below. Spencer used a scale factor of 300%. What was the perimeter of Spencer’s rectangle?")
Spencer drew a rectangle similar to but larger than the one shown below. Spencer used a scale factor of 300%. What was the perimeter of Spencer’s rectangle?- A.
36 cm
- B.
72 cm
- C.
108 cm
- D.
216 cm
- 20.A square in a coordinate plane undergoes a 40% dilation with respect to the origin. One corner of this square originally had coordinates (60, 80). What are the coordinates of the dilated image of this corner?
- A.
(20,60)
- B.
(24,32)
- C.
(36,48)
- D.
(40,40)
- 21.The point P has the coordinates (9, -2). The point is translated 2 units up to make point P’. Then P’ is reflected across the y-axis to form point P’’. What are the coordinates of P’’?
- A.
(-11, -2)
- B.
(-9, 4)
- C.
(-9, 0)
- D.
(-9,-4)
- 22.96 in = ___ ft
- 23.72 ft = ___yd
- 24.7 pt = ___ qt
- 25.10 mi = ___ ft
- 26.15,000 m = _____ km
- 27.122 cm = ____ mm
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