Similar Polygons (not proving similarity)

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. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

If ABCDE ∼ GHJDF, what can we conclude about the angles?

Back

The corresponding angles of the similar polygons are equal. For example, ∠E ≅ ∠F.

Front

Back

Front

What is the relationship between the sides of similar polygons?

Back

The ratios of the lengths of corresponding sides of similar polygons are equal.

Front

If two polygons are similar, how do their areas compare?

Back

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths.

Front

What is the term for polygons that are the same shape but not the same size?

Back

Similar.

Front

If the side lengths of two similar polygons are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9, since it is the square of the side length ratio (2^2:3^2).

Front

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

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 6, what is the ratio of AB to DE?

Back

Front

What is the significance of corresponding angles in similar polygons?

Back

Corresponding angles in similar polygons are equal, which helps establish the similarity of the polygons.