Unit 7 Test (Stalions Simmemon)
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)
Correct Answer
C. (25,50) -
- 2.
A coffee mug is pushed across a kitchen table. What type of transformation is that?
- A.
Dilation
- B.
Reflection
- C.
Rotation
- D.
Translation
Correct Answer
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.
Correct Answer
C. C) If figures are congruent, they must be similar. -
- 4.
- 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?
- A.
See above
- B.
See above
- C.
See above
- D.
See above
Correct Answer
B. 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
Correct Answer
C. Meters -
- 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
Correct Answer
B. 65 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
Correct Answer
A. 3 -
- 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)
Correct Answer
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
Correct Answer
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
Correct Answer
B. 5.3 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?
- A.
30 feet
- B.
36 feet
- C.
60 feet
- D.
54 feet
Correct Answer
B. 36 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?
- A.
A) 1 centimeter = 2 kilometers
- B.
B) 1 centimeter = 3 kilometers
- C.
C) 1 centimeter = 4 kilometers
- D.
D) 1 centimeter = 9 kilometers
Correct Answer
A. A) 1 centimeter = 2 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
Correct Answer
B. 1 cm = 4 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?
- A.
0.75 miles
- B.
10.5 miles
- C.
27 miles
- D.
1.5 miles
Correct Answer
C. 27 miles -
- 16.
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
Correct Answer
A. 14 in -
- 17.
What is the scale factor of the following set of similar figures?
- A.
4:3
- B.
1:1
- C.
2:3
- D.
1:2
Correct Answer
C. 2:3 -
- 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
Correct Answer
A. 2 - 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?
- A.
36 cm
- B.
72 cm
- C.
108 cm
- D.
216 cm
Correct Answer
B. 72 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)
Correct Answer
B. (24,32) -
- 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)
Correct Answer
C. (-9, 0) -
- 22.
96 in = ___ ft
Correct Answer
8 - 23.
72 ft = ___yd
Correct Answer
24 - 24.
7 pt = ___ qt
Correct Answer
3.5
3 1/2
3 and a half - 25.
10 mi = ___ ft
Correct Answer
52,800 - 26.
15,000 m = _____ km
Correct Answer
15 - 27.
122 cm = ____ mm
Correct Answer
1,220
1220
A. See above
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Mar 19, 2022Quiz Edited by
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Feb 24, 2009Quiz Created by
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