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 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 does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Front

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

Back

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

Front

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

Back

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

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can we conclude?

Back

The triangles are similar by the SAS criterion.

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 we say about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

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

Back

Check if the ratios of the lengths of corresponding sides are equal.

Front

What is the significance of the included angle in the SAS similarity criterion?

Back

The included angle must be equal for the triangles to be considered similar.