Flashcard - 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 lengths of their corresponding sides are proportional.

Front

How do you find the scale factor between two similar polygons?

Back

The scale factor is found by dividing the length of a side of the smaller polygon by the length of the corresponding side of the larger polygon.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

Back

It means that for every 2 units in the smaller polygon, there are 3 units in the larger polygon.

Front

How do you set up a proportion to find a missing side length in similar polygons?

Back

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 ratio of their corresponding side lengths.

Front

If the side lengths of two similar triangles are in the ratio 4:5, what is the ratio of their areas?

Back

Front

How can 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 proportional.

Front

What is the formula for finding the area of a triangle?

Back

Front

If two similar triangles have a scale factor of 3:4, and the area of the smaller triangle is 12 square units, what is the area of the larger triangle?

Back