Ratio, Proportions, 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

If 10a = 15b, what is the ratio of a:b in simplest form?

Back

3:2

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if they have the same shape but not necessarily the same size, with corresponding angles equal and corresponding sides proportional.

Front

What is the similarity statement for triangles?

Back

A similarity statement indicates that two triangles are similar, e.g., ΔXYZ~ΔNEW.

Front

What are corresponding sides in similar polygons?

Back

Corresponding sides in similar polygons are the sides that are in the same relative position in each polygon.

Front

What are corresponding angles in similar polygons?

Back

Corresponding angles in similar polygons are the angles that are in the same relative position in each polygon.

Front

If a picture is 18 in. wide and 24 in. long, and is enlarged proportionally to a width of 54 in., what is the length?

Back

72 in.

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent