Similar Triangles

Front

What does the AA similarity theorem state?

Back

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

Front

What is the SAS similarity theorem?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the SSS similarity theorem?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How do you determine if two triangles are similar?

Back

You can use the AA, SAS, or SSS similarity theorems to determine if two triangles are similar.

Front

What is a scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If triangle ABC is similar to triangle DEF, and the length of AB is 6 and DE is 3, what is the scale factor?

Back

The scale factor is 2:1.

Front

In similar polygons, what is true about corresponding sides?

Back

Corresponding sides of similar polygons are proportional.

Front

In similar polygons, what is true about corresponding angles?

Back

Corresponding angles of similar polygons are congruent.

Front

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

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

If two triangles have a scale factor of 4:1, what is the ratio of their areas?

Back

The ratio of their areas is 16:1.