Similarity

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

Front

What is the SAS criterion for triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity where two sides of one triangle are proportional to two sides of another triangle, and the included angle is equal.

Front

What is the SSS criterion for triangle similarity?

Back

SSS stands for Side-Side-Side, a criterion for triangle similarity where all three sides of one triangle are proportional to the three sides of another triangle.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

The triangles are similar by the AA criterion.

Front

How do you find a missing side in similar triangles?

Back

Use the proportion of corresponding sides to set up a ratio and solve for the missing side.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

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 9:25.

Front

Solve for x if triangle ABC is similar to triangle DEF and AB = 6, DE = x, and AC = 9, DF = 15.

Back

x = 10.

Front

What is the formula to find the length of a side in similar triangles?

Back

If triangle ABC is similar to triangle DEF, then AB/DE = AC/DF = BC/EF.