Unit 7 Test (Stalions Simmemon)

72 ft = ___yd

7 pt = ___ qt

10 mi = ___ ft

15,000 m = _____ km

122 cm = ____ mm

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?

• 0.75 miles

• 10.5 miles

• 27 miles

• 1.5 miles

A coffee mug is pushed across a kitchen table. What type of transformation is that?  

• Dilation

• Reflection

• Rotation

• Translation

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) 1 centimeter = 2 kilometers

• B) 1 centimeter = 3 kilometers

• C) 1 centimeter = 4 kilometers

• D) 1 centimeter = 9 kilometers

Which units of measurement would be MOST useful for measuring the length of a swimming pool?          

• Centimeters

• Kilometers

• Meters

• Millimeters

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?  

• (20,60)

• (24,32)

• (36,48)

• (40,40)

Using a scale factor of 2.5.  Which shape is similar to the original shape below?

• See above

• See above

• See above

• See above

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?

• 30 feet

• 36 feet

• 60 feet

• 54 feet

Which of the following is equivalent to 4 tons?  

• 400 pounds

• 2,000 pounds

• 4,000 pounds

• 8,000 pounds

1. Triangle BCD is similar to triangle MNO. Which proportion could be used to find the length of CD?

1. A statue is 64 meters tall.  A scale drawing of the statue is 16 centimeters tall.  Which is the scale of the drawing?

 

• 1 m = 48 cm

• 1 cm = 4 m

• 1 m = 4 cm

• 1 cm = 48 m

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?  

• (20,50)

• (25,40)

• (25,50)

• (145,165)

 How many liters are there in 5,300 milliliters?      

• 0.53 Liters

• 5.3 Liters

• 53 Liters

• 53,000 Liters

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?

• 36 cm

• 72 cm

• 108 cm

• 216 cm

What is the scale factor of the following set of similar figures?

• 4:3

• 1:1

• 2:3

• 1:2

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?  

• 70 square inches

• 65 square inches

• 50 square inches

• 46 square inches

  Which statement is true?  

• A) If figures are similar, they must be congruent.

• B) If figures are similar, they cannot be congruent.

• C) If figures are congruent, they must be similar.

• D) If figures are congruent, they cannot be similar.

If ABCD is similar to EFGH, what is the length of side FG?

• 14 in

• 8 in

• 6 in

• 12.5 in

The point (7, -3) is translated 4 units to the left and 10 units down. What are the coordinates of the translated point?  

• (11,-7)

• (11,-13)

• (3,-7)

• (3,-13)

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?  

• 3

• 9

• 81

• 240

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’’?

• (-11, -2)

• (-9, 4)

• (-9, 0)

• (-9,-4)

1. 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?

 

• 2

• 4

• 16

• 150