Proportional Reasoning and Scale Drawings

What is a scale factor in the context of scale drawings?

• A type of drawing tool

• A ratio of corresponding side lengths between two objects

• A measurement unit for angles

• A specific type of architectural design

What does a scale drawing represent?

• An exact replica of the original object

• A detailed architectural plan

• A sketch made without measurements

• A drawing that is proportionally smaller or larger than the object it represents

How do you calculate the scale factor between two similar triangles?

• Add the lengths of corresponding sides

• Divide the length of a side of one triangle by the corresponding side of the other

• Multiply the base by the height of one triangle

• Measure the angles and compare them

What does a scale factor less than 1 indicate?

• The drawing is smaller than the actual object

• The drawing is larger than the actual object

• The drawing and object are not comparable

• The drawing is the same size as the object

What is the scale factor from triangle ABC to triangle EFG if side AB is 8 and side EF is 12?

• 1/2

• 4/5

• 2/3

• 3/4

What does a scale factor greater than 1 result in?

• A reduction in size

• No change in size

• An enlargement

• An inaccurate drawing

What is the inverse of a scale factor of 2/3?

• 3/2

• 2/3

• 3/4

• 1/2

If the scale drawing of a poster is 4 inches by 9 inches, what is the scale factor if the actual poster is 20 inches by 45 inches?

• 1/5

• 1/2

• 1/4

• 1/3

How do corresponding side lengths help determine the scale factor?

• By subtracting one from the other

• By multiplying them

• By adding them together

• By dividing one by the other

What practical application was discussed for creating a scale drawing?

• Drawing a landscape

• Creating a new map

• Making a poster for a school project

• Designing a building