Similar Triangles AA SSS SAS

Front

What is the AA criterion for triangle similarity?

Back

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

Front

What does SSS stand for in triangle similarity?

Back

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

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, 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

If ΔABC ~ ΔDEF, what can be inferred about their corresponding angles?

Back

The corresponding angles of ΔABC and ΔDEF are equal.

Front

If the sides of triangle A are 3, 4, and 5, and the sides of triangle B are 6, 8, and 10, are the triangles similar?

Back

Yes, because the sides of triangle B are twice the length of the sides of triangle A, satisfying the SSS criterion.

Front

What is the relationship between 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 sides.

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 the SAS criterion.

Front

How can you determine if two triangles are not similar?

Back

If the corresponding angles are not equal or the sides are not in proportion, the triangles are not similar.

Front

What is the significance of the similarity statement ΔABC ~ ΔDEF?

Back

It indicates that triangle ABC is similar to triangle DEF, meaning their corresponding angles are equal and their corresponding sides are in proportion.

Front

If ΔXYZ ~ ΔPQR and the length of XY is 5 cm and PQ is 10 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.