Proving Similar Triangles #2

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes; their corresponding angles are equal and their corresponding sides are in proportion.

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a similarity criterion stating 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, a similarity criterion stating 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, a similarity criterion stating 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

What does ASA stand for in triangle similarity?

Back

ASA stands for Angle-Side-Angle, a similarity criterion stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are similar.

Front

If two triangles have one angle of 60 degrees and the other two angles are equal, are they similar?

Back

Yes, they are similar by AA (Angle-Angle) similarity.

Front

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF has sides of lengths 6, 8, and 10, are the triangles similar?

Back

Yes, they are similar by SSS (Side-Side-Side) similarity.

Front

If triangle GHI has angles of 30 degrees, 60 degrees, and 90 degrees, and triangle JKL has angles of 30 degrees, 60 degrees, and 80 degrees, are the triangles similar?

Back

No, they are not similar because the angles do not match.

Front

What is the relationship between corresponding angles in similar triangles?

Back

All corresponding angles in similar triangles are congruent (equal in measure).

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are in proportion.