Similar Polygons Flashcard

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Front

What is the relationship between corresponding angles of similar polygons?

Back

Corresponding angles of similar polygons are congruent.

Front

If triangle ABC is similar to triangle DEF, what can we say about the ratios of their corresponding sides?

Back

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

Front

What is the similarity statement for polygons?

Back

A similarity statement indicates which polygons are similar and shows the correspondence between their vertices.

Front

If two polygons are similar, how do you find the length of a side in one polygon if you know the length of the corresponding side in the other polygon?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown length.

Front

Back

The ratio of similarity is 2:1.

Front

What is the significance of the scale factor in similar polygons?

Back

The scale factor is the ratio of the lengths of corresponding sides of similar polygons and indicates how much one polygon is enlarged or reduced compared to the other.

Front

If the scale factor of two similar polygons is 3:2, what does this imply about their areas?

Back

The area of the larger polygon is 9/4 times the area of the smaller polygon, since area ratios are the square of the side length ratios.

Front

How do you determine if two triangles are similar using the Angle-Angle (AA) criterion?

Back

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What is the definition of corresponding sides in similar polygons?

Back

Corresponding sides are the sides of two similar polygons that are in the same relative position.