6.4 Similar Triangles

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. 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. 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. 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 is the criterion for triangles to be considered not similar?

Back

Triangles are not similar if none of the angles are equal and the sides are not in proportion.

Front

If two triangles have two pairs of equal angles, what can be concluded about them?

Back

The triangles are similar by the AA criterion.

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, they are similar by SSS because the sides are in proportion (1:2).

Front

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

Back

Check if two sides of one triangle are in proportion to two sides of another triangle and if the included angles are equal.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle A has sides of lengths 5, 12, and 13, and triangle B has sides of lengths 10, 24, and 26, are they similar?

Back

Yes, they are similar by SSS because the sides are in proportion (1:2).

Front

What is the significance of the ratio of corresponding sides in similar triangles?

Back

The ratio of corresponding sides in similar triangles is constant and is called the scale factor.