Similar Triangles

Front

What is the AA similarity theorem?

Back

The AA (Angle-Angle) similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What does SAS similarity theorem stand for?

Back

SAS (Side-Angle-Side) similarity theorem states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the SSS similarity theorem?

Back

SSS (Side-Side-Side) similarity theorem states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using the AA, SAS, or SSS similarity theorems.

Front

What is the significance of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, which is a key property used to prove similarity.

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 be said about their angles?

Back

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

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what theorem applies?

Back

The SAS similarity theorem applies.

Front

What is the formula to find the length of a side in similar triangles?

Back

If triangle ABC is similar to triangle DEF, then (AB/DE) = (BC/EF) = (AC/DF).

Front

If two triangles are not similar, what can be concluded about their angles?

Back

If two triangles are not similar, their corresponding angles are not equal.