Unit 3 test 2 Review 24-25

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is often represented by the letter 'k' or 'm' in equations.

Front

How do you determine the constant of proportionality from a graph?

Back

To determine the constant of proportionality from a graph, find the slope of the line, which is the ratio of the change in the y-values to the change in the x-values.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the size of a figure in relation to another figure.

Front

If a triangle has a scale factor of 1/2, what does that mean?

Back

It means that the dimensions of the new triangle are half the size of the original triangle.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How do you find a missing side length in similar triangles?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How can you tell if a table of values represents a proportional relationship?

Back

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

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is the same as the constant of proportionality in a linear relationship.

Front

What does it mean if the constant of proportionality is 0?

Back

If the constant of proportionality is 0, it means that there is no relationship between the two quantities; as one quantity increases, the other remains constant.