Similar Polygons - The Basics

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 their corresponding sides are proportional.

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 in proportion.

Front

What is a scale factor in similar polygons?

Back

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

Front

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

Back

It means that polygon B is twice the size of polygon A.

Front

If the scale factor from polygon A to polygon B is 1/2, what does this mean?

Back

It means that polygon B is half the size of polygon A.

Front

Are two triangles with equal angles always similar?

Back

Yes, two triangles with equal angles are always similar due to the Angle-Angle (AA) similarity postulate.

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

If the scale factor of two similar polygons is 3, what is the ratio of their areas?

Back

The ratio of their areas is 3^2 = 9.

Front

How do you find a missing side length in similar polygons?

Back

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

Front

If polygon A has a side length of 10 and polygon B has a corresponding side length of 5, are they similar?

Back

Yes, they are similar because the ratio of their corresponding sides is 10:5, which simplifies to 2:1.