Similar Polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for corresponding angles to be congruent?

Back

It means that the angles have the same measure in both polygons.

Front

If two polygons are similar, what can be said about the ratios of their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

How can you determine if two polygons are similar?

Back

By checking if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

What is the relationship between the scale factor and similar polygons?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar polygons.

Front

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

Back

The ratio of their areas will be the square of the scale factor, which is 4:9.

Front

What is the significance of the term 'corresponding sides' in similar polygons?

Back

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

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 1:2.

Front

What happens to the angles of similar polygons when they are transformed (e.g., enlarged or reduced)?

Back

The angles remain congruent regardless of the transformation.

Front

Can two polygons be similar if one is a triangle and the other is a quadrilateral?

Back

No, polygons must have the same number of sides to be similar.