Similar triangles

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Front

What are the criteria for triangle similarity?

Back

AA (Angle-Angle), SAS (Side-Angle-Side), SSS (Side-Side-Side).

Front

If two triangles have two pairs of equal angles, what can we conclude about them?

Back

They are similar by AA criterion.

Front

What is the SSS similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

How do you determine if two triangles are not similar?

Back

If none of the similarity criteria (AA, SAS, SSS) are met, the triangles are not similar.

Front

In a triangle, if the lengths of the sides are 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the ratio of their sides?

Back

The ratio is 2:3.

Front

In an animal shelter, the ratio of dogs to cats is 5 to 3. If there are 25 dogs, how many cats are there?

Back

There are 15 cats.

Front

If two triangles are congruent, what can we say about their similarity?

Back

Congruent triangles are always similar.