Check Your Understanding: Proving Similar Triangles

Front

What does AA stand for in triangle similarity?

Back

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

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

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

Front

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

Back

If 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 SSS?

Back

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

Front

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

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 by SAS.

Front

What is the relationship between the corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

If triangle PQR is similar to triangle DEF, what can be said about their angles?

Back

The corresponding angles of triangle PQR and triangle DEF are equal.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by SAS.

Front

What is the significance of the AA criterion in proving triangle similarity?

Back

The AA criterion is significant because it only requires two angles to be equal to prove similarity, making it a straightforward method.