HW - 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 their corresponding sides are in proportion.

Front

What is the property of angles in similar polygons?

Back

All corresponding angles in similar polygons are congruent.

Front

If two polygons are similar, what is true about their corresponding sides?

Back

The lengths of corresponding sides are proportional.

Front

How do you find the missing length in similar polygons?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the missing length.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their sides, so (2:3)² = 4:9.

Front

What is a scale factor in similar polygons?

Back

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

Front

If one triangle has a side length of 4 and a similar triangle has a side length of 8, what is the scale factor?

Back

The scale factor is 2.

Front

What does it mean if two polygons are not similar?

Back

Their corresponding angles are not equal, or their corresponding sides are not in proportion.

Front

How can you determine if two triangles are similar?

Back

By using the Angle-Angle (AA) similarity postulate, Side-Angle-Side (SAS) similarity, or Side-Side-Side (SSS) similarity.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 and side DE is 10, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 1:2.