Homework: Similar Polygons with Dilation

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 dilation in geometry?

Back

A transformation that alters the size of a figure but keeps its shape. It involves a center point and a scale factor.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their 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 figures.

Front

If two polygons are similar, what can be said about their perimeters?

Back

The ratio of their perimeters is equal to the scale factor of their corresponding sides.

Front

What is the relationship between the areas of two similar polygons?

Back

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

Front

Back

Front

How do you find the value of x in similar polygons?

Back

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

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 proportional.

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