Similar Polygons

Front

Define similar polygons.

Back

Similar polygons are polygons that have the same shape but may differ in size. Their corresponding angles are equal, and the ratios of the lengths of their corresponding sides are proportional.

Front

What is the scale factor in similar polygons?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar polygons. It indicates how much one polygon is enlarged or reduced compared to the other.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

If the scale factor of two similar polygons is 2:1, what does this mean?

Back

This means that for every 2 units in one polygon, there is 1 unit in the other polygon, indicating that the first polygon is twice as large as the second.

Front

How do you determine if two polygons are similar?

Back

To determine if two polygons are similar, check if their corresponding angles are equal and if the ratios of their corresponding sides are equal.

Front

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

Back

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths.

Front

If the sides of two similar triangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3²:5², which simplifies to 9:25.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the scale factor?

Back

The scale factor is 6:9, which simplifies to 2:3.

Front

What is the significance of corresponding sides in similar polygons?

Back

Corresponding sides in similar polygons are the sides that are in the same relative position in each polygon, and their lengths are proportional.