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 corresponding sides are proportional.

Front

What is the 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 5/2, what does this mean?

Back

It means that each side of polygon B is 2.5 times longer than the corresponding side of polygon A.

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 the relationship between the areas of two similar polygons?

Back

The ratio of their areas is the square of the scale factor.

Front

If the scale factor is 3:5, what is the ratio of the areas of the two polygons?

Back

The ratio of the areas is (3/5)² = 9/25.

Front

What does it mean if line segment CB corresponds to line segment GF in similar polygons?

Back

It means that CB and GF are proportional in length and that the angles at their respective vertices are equal.

Front

Back

x = 100.

Front

Back

x = 35.

Front

What is a proportional relationship in the context of similar polygons?

Back

A relationship where two quantities maintain a constant ratio to each other.