Geom Ch 8 Similarity Review for Test

Front

What is the definition of similar triangles?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What does the AA criterion for similarity state?

Back

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

Front

What does the SSS criterion for similarity state?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What does the SAS criterion for similarity state?

Back

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

Front

Back

x = 1

Front

Back

x = -5

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Yes, if the corresponding angles are also equal.

Front

What is the relationship between the areas of 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 triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and DE is 6 cm, what is the ratio of their sides?

Back

The ratio of their sides is 4:6 or 2:3.

Front

What is the formula to find the missing side in similar triangles?

Back