Similar Figures & Scale Factor Unit Assessment Practice

Similar Figures & Scale Factor

Unit Assessment Practice

Math 7

Mrs. Todd

Opelika Middle School

Section 1: Identifying Similar Figures

Practice Questions

Multiple Select

How do you know if two figures are similar? (Select all that apply)

• They are the same shape.

• They are the same size.

• They have corresponding sides.

• They have different angle measurements.

Multiple Choice

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Multiple Choice

Which triangle is similar to the above triangle ?

• A
• B
• C
• D

Multiple Choice

A student's rectangular desk is 30 inches long and 18 inches wide. The teacher's rectangular desk is 60 inches long and 36 inches wide. Are the desks similar?

• The desks are similar. The student's desk is 2 times larger than the teacher's desk.

• The desks are similar. The teacher's desk is 1/2 the size of the student's desk.

• The desks are similar. The scale factor comparing the teacher's desk to the student's desk is 2:1.

• The desks are not similar.

Section 2: Measures of Similar Figures

Practice Questions

Multiple Choice

Solve for x.

• 2

• 7

• 0.5

• 12

Multiple Choice

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

Multiple Choice

The pair of figures is similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

Multiple Choice

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

• 8 feet

Multiple Choice

How tall is Yeti? (Round your answer to the nearest hundredth.)

• 6.25

• 5.5

• 6

• 5.75

Multiple Choice

What is the relationship between a scale factor and the ratio of the perimeters of two similar figures?

• The scale factor and the ratio of the perimeters is the same.

• The scale factor is twice as large as the ratio of the perimeters.

• The ratio of the perimeters is the square of the scale factor.

• The scale factor is half as large as the ratio of the perimeters.

Multiple Choice

What is the relationship between a scale factor and the ratio of the areas of two similar figures?

• The scale factor and the ratio of the areas is the same.

• The scale factor is twice as large as the ratio of the areas.

• The ratio of the areas is the square of the scale factor.

• The scale factor is half as large as the ratio of the areas.

Section 3: Scale Factors

Practice Questions

Multiple Choice

Scale Factor of 5 is _________________ .

• Reduction
• Enlargement

Multiple Choice

Scale Factor of ½ is __________________ .

• Reduction
• Enlargement

Multiple Choice

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

Multiple Choice

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

Multiple Choice

What is the scale factor from ABC to DEF?

• 2

• 3/2

• 2/3

• 1/2

Multiple Choice

• 0.25
• 0.5
• 2
• 1/2

Multiple Choice

What is the scale factor from ABCD to MNOP?

• 2/3
• 3/2
• 2
• 3

Multiple Choice

What is the scale factor from ΔDEF to ΔABC?

• 1/2
• 7/3
• 2
• 10/3

Multiple Choice

If you want to find the scale factor from one figure to another, which formula should you use?

• New/Original

• Original/New

• Part/Whole

Multiple Choice

Which measurement would NOT be a dimension of the triangle given the scale factor?

• 3 ft

• 4.5 ft

• 5.4 ft

• 12 ft

Section 4: Scale Drawings

Practice Problems

Multiple Choice

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet
• 16 feet 
• 10 feet
• 4 feet

Multiple Choice

What is the scale factor from the small fry to the large fry?

• 1/3

• 48

• 4

• 3

Multiple Choice

If the scale factor is 4, what is the measurement of x?

• 20 m
• 24 m
• 16 m
• 4 m

Multiple Choice

A photo has dimensions 12 x 6. Bob wants to get an enlargement that has scale factor 3. What are the dimensions of the new photo?

• 36 x 18

• 15 x 9

• 18 x 9

• 4 x 2

Multiple Choice

Kiera measured a farm and made a scale drawing. In real life, the goat pen is 18 meters long. It is 6 centimeters long in the drawing. What scale did Kiera use for the drawing?

• 1 cm = 6 meters

• 1 m = 18 centimeters

• 18 centimeters = 6 meters

• 1 cm = 3 meters

Multiple Choice

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

• 10 Feet

• 2.5 Feet

• 5 Feet

• 15 Feet

Multiple Choice

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 1.7 km
• 5 km
• 15 km
• 17 km 

Multiple Choice

On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?

• 42 inches = 1 mile
• 1 inch = 42 miles
• 40 inches = 1 mile
• 
  1 inch = 40 miles

Multiple Choice

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 1.7 km
• 5 km
• 15 km
• 17 km 

Multiple Choice

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches
• 60 inches
• 1/30 inch
• 30 inches