Similar Triangles AA SSS SAS

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, then the triangles are similar.

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, then 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, then the triangles are similar.

Front

What is the criteria for two triangles to be similar using SSS?

Back

Two triangles are similar using SSS if the lengths of their corresponding sides are proportional.

Front

What is the criteria for two triangles to be similar using AA?

Back

Two triangles are similar using AA if two angles of one triangle are equal to two angles of another triangle.

Front

What is the criteria for two triangles to be similar using SAS?

Back

Two triangles are similar using SAS if two sides of one triangle are proportional to two sides of another triangle and the angle between those sides is equal.

Front

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

Back

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

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, triangle ABC and triangle DEF are similar by SSS because the sides are in proportion (3:6, 4:8, 5:10).

Front

Can two triangles be similar if one is a right triangle and the other is not?

Back

Yes, two triangles can be similar regardless of whether one is a right triangle and the other is not, as long as the angle criteria (AA) or side criteria (SSS or SAS) are met.

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.