Similar Polygons

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 ratios 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 polygons. It indicates how much one polygon is scaled up or down compared to the other.

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If the sides of two similar triangles are in the ratio 2:5, what is the scale factor from the smaller triangle to the larger triangle?

Back

Front

What is the perimeter of a polygon?

Back

The total length of all the sides of the polygon.

Front

If the perimeter of a smaller triangle is 12 and it is similar to a larger triangle, what is the perimeter of the larger triangle if the scale factor is 3:1?

Back

The perimeter of the larger triangle is 36.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If the side lengths of two similar polygons are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.

Front

What does it mean if two polygons are not similar?

Back

It means that their corresponding angles are not equal, or the ratios of their corresponding sides are not equal.