Proving Triangles Similar

Front

What does AA stand for in triangle similarity?

Back

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

Front

What does SAS stand for in triangle similarity?

Back

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

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity criterion, which states that if the three sides of one triangle are proportional to the three sides of another triangle, 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 their corresponding sides are proportional.

Front

If two triangles have one angle equal and the sides including that angle are proportional, what similarity criterion applies?

Back

The SAS (Side-Angle-Side) similarity criterion applies.

Front

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

Back

The triangles are similar by the AA (Angle-Angle) similarity criterion.

Front

Can two triangles be similar if they have no angles equal?

Back

No, if two triangles have no angles equal, they cannot be similar.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

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

Back

Angle A is equal to angle D, angle B is equal to angle E, and angle C is equal to angle F.

Front

How can you determine if two triangles are similar using a scale factor?

Back

If the lengths of corresponding sides of two triangles have a constant ratio (scale factor), the triangles are similar.