Similar Polygons

Front

What is the definition of similar polygons?

Back

Similar polygons are 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

What is a scale factor in the context of similar polygons?

Back

A scale factor is a number that describes how much a figure is enlarged or reduced. It is the ratio of the lengths of corresponding sides of two similar polygons.

Front

If the scale factor of polygon RSTU to VWXY is 14:3, what is the scale factor of VWXY to RSTU?

Back

3:14

Front

How do 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 does it mean if corresponding angles of two polygons are congruent?

Back

It means that the angles have the same measure, which is a requirement for the polygons to be similar.

Front

What does it mean if corresponding sides of two polygons are proportional?

Back

It means that the ratios of the lengths of corresponding sides are equal, which is another requirement for the polygons to be similar.

Front

If ABCD ~ TSVU and the length of AB is 10 cm, what is the length of TS if the scale factor is 2:1?

Back

5 cm

Front

Are the polygons HGFE and NMLK similar if their corresponding angles are not congruent?

Back

No - because corresponding angles are not congruent.

Front

Are the polygons PMNO and RSTU similar if their corresponding sides are not proportional?

Back

No - because corresponding sides are not proportional.

Front

If the lengths of corresponding sides of two similar polygons are 8 cm and 4 cm, what is the scale factor?

Back

2:1