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 lengths of their corresponding sides are proportional.

Front

How do you determine if two polygons are similar?

Back

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

Front

What is a scale factor in similar polygons?

Back

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

Front

If the scale factor from polygon A to polygon B is 2, what does this mean?

Back

It means that each side of polygon B is twice as long as the corresponding side of polygon A.

Front

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

Back

Use the scale factor to set up a proportion between the known side lengths of the polygons.

Front

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

Back

The scale factor is 2.

Front

If two similar polygons have a scale factor of 3:5, what does this imply about their areas?

Back

The ratio of their areas is the square of the scale factor, so the area ratio is 9:25.

Front

What is the relationship between the angles of similar polygons?

Back

All corresponding angles of similar polygons are equal.

Front

If the sides of polygon X are 6 cm, 8 cm, and 10 cm, and it is similar to polygon Y with a scale factor of 1.5, what are the lengths of the sides of polygon Y?

Back

The sides of polygon Y are 9 cm, 12 cm, and 15 cm.

Front

What does it mean for two polygons to be congruent?

Back

Congruent polygons are similar polygons that are the same size; their corresponding sides and angles are equal.