Similar Polygons

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 AA criterion for similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

Side-Angle-Side; if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

Side-Side-Side; if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How do you solve a proportion?

Back

Cross-multiply the terms and set them equal to each other to find the unknown variable.

Front

If AB/DE = AC/DF, what does this represent?

Back

This represents the property of similar triangles where the ratios of corresponding sides are equal.

Front

What is the formula for finding the scale factor of similar polygons?

Back

Scale Factor = Length of a side of the first polygon / Length of the corresponding side of the second polygon.

Front

If two triangles are similar, how do you find the length of a side in one triangle if you know the corresponding side in the other triangle?

Back

Use the scale factor derived from the lengths of the known sides.

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

Back

The scale factor is 6/9 or 2/3.