similar triangle theorems review

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle Similarity Postulate, which states that 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

SAS~ stands for Side-Angle-Side Similarity Postulate, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side Similarity Postulate, which states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

State the AA~ postulate for triangle similarity.

Back

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

Front

State the SAS~ postulate for triangle similarity.

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

State the SSS~ postulate for triangle similarity.

Back

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

Front

How can you determine if two triangles are similar using AA~?

Back

If you can show that two angles of one triangle are equal to two angles of another triangle, then the triangles are similar by AA~.

Front

How can you determine if two triangles are similar using SAS~?

Back

If you can show that two sides of one triangle are proportional to two sides of another triangle and the angle between those sides is equal, then the triangles are similar by SAS~.

Front

How can you determine if two triangles are similar using SSS~?

Back

If you can show that the lengths of all three pairs of corresponding sides of two triangles are proportional, then the triangles are similar by SSS~.

Front

What is the significance of triangle similarity in geometry?

Back

Triangle similarity allows us to make conclusions about the properties of triangles, such as their angles and side lengths, without needing to measure them directly.