MO #9 Proving Triangles Similar

Front

What does AA similarity mean in triangles?

Back

AA similarity means that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What does SSS similarity mean in triangles?

Back

SSS similarity means that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What does SAS similarity mean in triangles?

Back

SAS similarity means that if two sides of one triangle are proportional to two sides of another triangle and the included angle is congruent, then the triangles are similar.

Front

What is the criteria for triangles to be similar?

Back

Triangles can be similar by AA, SSS, or SAS criteria.

Front

If two triangles have all corresponding angles equal, what can be said about them?

Back

The triangles are similar.

Front

If two triangles have sides in the ratio of 2:3, are they similar?

Back

Not necessarily; the angles must also be checked for congruence.

Front

What is the relationship between the angles of similar triangles?

Back

All corresponding angles in similar triangles are congruent.

Front

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

Back

Yes, as long as the corresponding angles are congruent.

Front

If triangle A has sides 3, 4, 5 and triangle B has sides 6, 8, 10, are they similar?

Back

Yes, they are similar by SSS similarity.

Front

What does it mean if two triangles are not similar?

Back

It means that they do not have the same shape; their angles are not congruent or their sides are not proportional.