Unit 4 Unit Rate and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one unit, such as miles per hour or price per item.

Front

What does scale factor represent in geometry?

Back

The scale factor is a number that scales, or multiplies, some quantity. It is the ratio of the length of a side of a scaled figure to the length of the corresponding side of the original figure.

Front

What is the formula to calculate the scale factor?

Back

Front

If a figure is enlarged by a scale factor of 2, what happens to its dimensions?

Back

If a figure is enlarged by a scale factor of 2, all dimensions of the figure are doubled.

Front

What is the difference between reduction and enlargement in terms of scale factor?

Back

Reduction means the scale factor is less than 1, while enlargement means the scale factor is greater than 1.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides of ABC are 3 cm and the corresponding sides of DEF are 6 cm?

Back

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If the scale factor is 1/2, what type of transformation is applied?

Back

A scale factor of 1/2 indicates a reduction.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be expressed as proportions, as they compare two quantities with one of them being 1.