7-2 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 the ratios of the lengths of their corresponding sides are proportional.

Front

What is the criteria for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

If two triangles are similar, what can be said about their angles?

Back

All corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about the sides?

Back

Front

How do you find the value of x in similar polygons?

Back

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

Front

What does it mean if two figures are not similar?

Back

It means that either their corresponding angles are not equal or the ratios of their corresponding sides are not equal.

Front

What is the relationship between the areas of two similar polygons?

Back

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

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

Front

What is the significance of corresponding angles in similar polygons?

Back

Corresponding angles being equal is a key condition for establishing the similarity of polygons.

Front

How can you determine if two triangles are similar using side lengths?

Back

Use the Side-Side-Side (SSS) similarity criterion: if the ratios of all three pairs of corresponding sides are equal, the triangles are similar.