Similar Polygons & Proportions A

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 is the similarity statement for two triangles?

Back

A statement that indicates two triangles are similar, typically written as ΔABC ~ ΔDEF, meaning triangle ABC is similar to triangle DEF.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the formula for finding the perimeter of similar polygons?

Back

If two polygons are similar with a scale factor of k, then the perimeter of the larger polygon is k times the perimeter of the smaller polygon.

Front

If the sides of triangle A are 3, 4, and 5, and the sides of triangle B are 6, 8, and 10, are the triangles similar?

Back

Yes, triangle A and triangle B are similar because the sides are in proportion (3:6, 4:8, 5:10).

Front

What is a scale factor in similar polygons?

Back

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

Front

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

Back

The scale factor is 2 (8 cm / 4 cm).

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

How do you solve for x in similar triangles?

Back

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

Front

What is the relationship between the areas of similar polygons?

Back

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