Scale Factors and Proportional Relationships

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to enlarge or reduce figures in geometry.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they have a constant ratio or relationship between them.

Front

How do you identify a proportional relationship in a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented by 'k'.

Front

If the scale factor is greater than one, what happens to the figure?

Back

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

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y and x are the two proportional quantities.

Front

What does a scale factor of 1 mean?

Back

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

Front

If a graph does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it is not proportional.

Front

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

Back

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

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values in the table.