Homework: Similar Polygons with Dilation

Front

What are similar polygons?

Back

Similar polygons are polygons that have the same shape but not necessarily the same size.

Front

How can 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 a scale factor in the context of similar polygons?

Back

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

Front

If the scale factor from polygon A to polygon B is 2:3, what does this mean?

Back

This means that for every 2 units in polygon A, there are 3 units in polygon B.

Front

How do you find the scale factor of two similar triangles?

Back

To find the scale factor, divide the length of a side of the larger triangle by the length of the corresponding side of the smaller triangle.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 6 cm, what is the scale factor from triangle ABC to triangle DEF?

Back

Front

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

Back

The ratio of the areas of two similar polygons is equal to the square of the scale factor.

Front

If the scale factor of two similar polygons is 1:4, what is the ratio of their areas?

Back

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means that their corresponding angles are not equal or their corresponding sides are not proportional.

Front

How can dilation be used to create similar polygons?

Back

Dilation is a transformation that alters the size of a polygon while maintaining its shape, thus creating similar polygons.