Scale Factors

Front

What happens to a figure when the scale factor is less than one?

Back

The new figure will be a reduction.

Front

What are scale drawings?

Back

Scale drawings are representations of objects that maintain the same proportions as the original, but are either enlarged or reduced in size.

Front

If the scale is 1cm = 8km, how do you calculate the actual distance between two points on a map?

Back

Multiply the distance on the map by the scale factor. For example, if two cities are 24cm apart on the map, the actual distance is 24cm * 8km/cm = 192 km.

Front

What happens to a figure when the scale factor is greater than one?

Back

The new figure will be an enlargement.

Front

If the scale factor is 4, what does that imply about the measurements of the new figure compared to the original?

Back

The measurements of the new figure will be four times larger than those of the original figure.

Front

How do you determine if a drawing is a scale drawing of a triangle?

Back

Compare the ratios of the corresponding sides of the drawing to the original triangle; if the ratios are equal, it is a scale drawing.

Front

What is the definition of a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity.

Front

How can you find the scale factor if you know the original and new dimensions of a figure?

Back

Divide the new dimension by the original dimension.

Front

What is the relationship between scale factors and area?

Back

If the scale factor is k, the area of the new figure is k^2 times the area of the original figure.

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size; it is neither enlarged nor reduced.