6.2 Similar Polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are proportional.

Front

What is the similarity ratio?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If the similarity ratio of two similar polygons is 2:3, what does this mean?

Back

It means that for every 2 units of length in the smaller polygon, there are 3 units of length in the larger polygon.

Front

How do you find the missing side of a similar polygon?

Back

Set up a proportion using the lengths of the corresponding sides of the similar polygons.

Front

What is the scale factor in similar polygons?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If polygon A has sides of length 4, 6, and 8, and polygon B has sides of length 6, 9, and 12, are they similar?

Back

Yes, because the ratios of corresponding sides (4:6, 6:9, 8:12) are all equal.

Front

What does it mean if two polygons are congruent?

Back

They are the same shape and size, meaning all corresponding sides and angles are equal.

Front

If the sides of a smaller polygon are 5 cm, 10 cm, and 15 cm, and the corresponding sides of a larger polygon are 10 cm, 20 cm, and 30 cm, what is the scale factor?

Back

The scale factor is 2.

Front

What is the relationship between similar figures and their areas?

Back

The ratio of the areas of two similar figures is the square of the ratio of their corresponding side lengths.