Similarity Review

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles 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 the Side-Angle-Side (SAS) similarity criterion?

Back

The SAS similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

The SSS similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How do you find the ratio of 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 side lengths.

Front

If the ratio of the areas of two similar triangles is 9:121, what is the ratio of their side lengths?

Back

The ratio of their side lengths is the square root of the area ratio, which is 3:11.

Front

What is the importance of the similarity postulate in geometry?

Back

The similarity postulate helps to determine whether two triangles are similar based on their angles and sides, which is essential for solving various geometric problems.

Front

What is the Angle-Side-Angle (ASA) similarity criterion?

Back

The ASA similarity criterion states that if two angles of one triangle are equal to two angles of another triangle and the included sides are proportional, then the triangles are similar.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional.