Review on Scale Factor & Scale Drawings

Front

What is the scale factor?

Back

The scale factor is a number that scales, or multiplies, a quantity. It indicates how much larger or smaller a drawing or model is compared to the actual object.

Front

If the original perimeter of a rectangle is 30cm, what is the new perimeter when enlarged by a scale factor of 4?

Back

120 cm

Front

What is the scale factor from ΔABC to ΔDEF if the sides of ΔDEF are twice as long as those of ΔABC?

Back

2

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object that is enlarged or reduced in size, maintaining the proportions of the original.

Front

If the scale is 1cm = 8km, what is the actual distance between two cities that are 24cm apart on the map?

Back

192 km

Front

How do you calculate the new dimensions of a shape when using a scale factor of 0.5?

Back

Multiply each dimension of the original shape by 0.5 to get the new dimensions.

Front

What happens to the area of a shape when the scale factor is 2?

Back

The area increases by a factor of 4, since area is proportional to the square of the scale factor (2^2 = 4).

Front

If a model car is built at a scale of 1:10, how much larger is the actual car compared to the model?

Back

The actual car is 10 times larger than the model.

Front

What is the relationship between the scale factor and the volume of a three-dimensional object?

Back

The volume increases by the cube of the scale factor (if the scale factor is k, the volume increases by k^3).

Front

If a drawing of a building is made at a scale of 1:50, what does this mean?

Back

It means that 1 unit on the drawing represents 50 units in real life.