Similar Polygons Review

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 the scale factor in similar polygons?

Back

The ratio of the lengths of corresponding sides of two similar polygons.

Front

If two polygons are similar, how do you find the length of a missing side?

Back

Use the scale factor to set up a proportion between the lengths of corresponding sides.

Front

If the scale factor of two similar triangles is 2:3, what does this mean?

Back

For every 2 units in the first triangle, there are 3 units in the second triangle.

Front

How do you determine if two polygons are similar?

Back

Check if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

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 sides 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

Find the missing length if one triangle has sides of 6 cm and the corresponding side in a similar triangle is 9 cm. What is the missing length if the corresponding side is x?

Back

x = (6/9) * corresponding side.

Front

If a triangle has sides of 10 cm, 15 cm, and 20 cm, what are the sides of a similar triangle with a scale factor of 2?

Back

20 cm, 30 cm, and 40 cm.

Front

What is a proportion?

Back

An equation that states that two ratios are equal.