Ratios, Proportions, and Similar Polygons

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a proportion?

Back

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

Front

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of the smaller figure by the corresponding side of the larger figure.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding angles are equal.

Front

If the ratio of circles to squares is 2:1, how many squares are there if there are 10 circles?

Back

There are 5 squares.

Front

What is the scale factor of a smaller figure with a length of 3 units to a larger figure with a length of 9 units?

Back

The scale factor is 1:3.

Front

How do you solve for an unknown in equivalent ratios?

Back

Cross-multiply the known values and solve for the unknown.

Front

What is the ratio of oatmeal cookies to chocolate chip cookies if there are 5 oatmeal and 6 chocolate chip cookies?

Back

The ratio is 5:6.

Front

If a ratio is 4:5, what is the equivalent ratio if both terms are multiplied by 2?

Back

The equivalent ratio is 8:10.