Scaled Drawings Review Mastery Quiz #2

Q1 Benchmark Review

​Part 1: Scaled Copies and Scale Drawings

​Scaled Copies

• ​ Remember scaled copies are not DISTORTED in any way!

• ​ Scale factor must be applied to every side!

Multiple Choice

Is Figure B a scaled copy of Figure A?

• Yes

• No

Multiple Choice

Which of the following is a scaled copy of figure A?

• B

• C

• D

​Corresponding Sides and Angles

Multiple Choice

Which side on the scaled copy corresponds to the side length HJ on the original image?

• AB

• BC

• AC

Multiple Choice

Identify the side length in Figure 1 that corresponds to the side length MQ in figure 2.

• BC

• AE

• CD

• DE

Multiple Choice

What is the scale factor from the smaller quadrilateral to the larger?

• scale factor = 4
• scale factor = 10
• scale factor = 3
• scale factor = 2

Multiple Choice

What is the scale factor from ΔABC to ΔDEF?

• 1/2
• 7/3
• 2
• 10/3

Multiple Choice

What is the scale factor from ABC to DEF?

• 2

• 3/2

• 2/3

• 1/2

​Using Scale Facor

​Using Scale Factor

Multiple Choice

The two rectangles are scale drawings. What is the measurement of x?

• 21
• 1.25
• 20
• 4

Multiple Choice

Find missing side

• 5
• 7
• 9
• 11

Multiple Choice

Find side length X.

• 16
• 18
• 2.4
• 15

​Scale Drawings

• ​ Uses a scale to represent real life distances.

• ​For Example:

  • A blueprint uses the scale 1 inch = 4 feet. If the width of a room on the blueprint is 5 inches, how wide is it in real life?

Multiple Choice

On a map, the scale is 1 cm = 8 km.  Hatboro and Smithville are 24 cm apart on the map, what is the actual distance between the 2 cities?

• 87 km
• 216 km 
• 33 km
• 192 km

Multiple Choice

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

• 6 cm

• 486 cm

• 9 cm

• 54 cm

Multiple Choice

The distance from Point A to Point B on a scale drawing is 6 centimeters. If the scale is 1 centimeter : 10 meters. What is the actual distance from A to B?

• 6 m
• 10 m
• 18 m
• 60 m

Poll

Someone draws a picture of a room with the scale of 1 inch to 4 feet.

Another person draws a picture of the room with the scale of 1 inch to 8 feet.

Will the second drawing be larger or smaller than the first?

• Larger

• Smaller

​Noah draws a first sketch of his room, and now he wants to decide on a proper scale.

​

Context for upcoming questions

Multiple Select

To represent wall C, Noah draws a segment 16 centimeters long.

The actual length of wall C in Noah's room is 4 meters

Which of the following scales could Noah be using for his drawing?

Select the three correct answers.

• 1 centimeter to 0.25 meters

• 4 centimeters to 1 meter

• 16 centimeters to 4 meters

• 25 centimeters to 1 meter

Categorize

Options (3)

10 centimeters

11 centimeters

15 centimeters

The actual lengths of wall A, wall B, and wall D are 2.5 meters, 2.75 meters, and 3.75 meters.

What will the length of the walls on his scale drawing be?

Using the scale 4 centimeters to 1 meter, sort the actual length of walls A, B, and D into the correct category for Noah's floor plan.

Wall A: 2.5 meters

Wall B: 2.75 meters

Wall C: 3.75 meters

​Explore - Page 5

Geogebra activity where you can take the information about the walls and make a scale drawing.......which can be done on your own time if you choose.

Let's Talk Utah

Two of your math teammates created scale
drawings of the state of Utah with different
scales of measurement.

Categorize

Options (6)

the state they represent

shape

can be used to find actual distances

scales

size of the drawings

lengths in scale drawings

Determine if the element is something the drawings have in common, or is something that differs between the drawings.

same

different

Draw

A rectangular swimming pool measures 50 meters in length and 25 meters in width.

On a scale drawing of the swimming pool, 1 centimeter represents 5 meters.

Label the measure of the length and width of the scaled drawing.

Make sure to include units.

Multiple Choice

Which of the following represents a scale that would produce the same scaled drawing as 1 centimeter to 5 meters

• 5 centimeters to 10 meters

• 5 centimeters to 1 meter

• 2 centimeters to 20 meters

• 0.2 centimeters to 1 meter

Categorize

Options (2)

1 inch to 6 inches

18 inches

An image of a book is 1.5 inches wide and 3 inches tall.

The actual book is 9 inches wide.

Sort the measurements into the correct category.

scale

actual measurements

Multiple Choice

Which answer choice lists all the quadrilaterals that are scaled copies of the unlabeled rectangle?

• A, B, C, D

• B, D, F, H

• B, D, E, G

• C, D, E, H

Scale Drawings

In lesson 7, you explored the use of scales for scale drawings.

For example...

this map is a scale drawing. The scale shows that 1 cm on the map represents 30 miles on land.

This means that if the distance between Amarillo and Oklahoma City on the scale drawing is 8.5 cm, the distance between the cities in real life is 255 miles. This is because 8.5 x 30 = 255.

Multiple Choice

Now it's your turn: A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?

• 9 feet long and 16.5 feet wide

• 19.25 inches long and 30.25 inches long

• 30 inches long and 16.5 inches wide

• 30 feet long and 55 feet wide

Fill in the Blanks

If we have a scale drawing, we can use the

to find lengths on the actual object.