Similar Triangles 7-3

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is the AA (Angle-Angle) similarity postulate?

Back

The AA postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS (Side-Side-Side) similarity postulate?

Back

The SSS postulate states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS (Side-Angle-Side) similarity postulate?

Back

The SAS postulate states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

If triangle ABC is similar to triangle RST, what is the relationship between their corresponding sides?

Back

Front

How do you find the height of an object using similar triangles?

Back

You can set up a proportion using the heights and corresponding distances of two similar triangles to solve for the unknown height.

Front

Back

Front

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

Back

Front

What does it mean if two triangles are not similar?

Back

If two triangles are not similar, it means that their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

How can you prove that two triangles are similar using the SAS postulate?

Back

To prove similarity using SAS, show that two sides of one triangle are proportional to two sides of another triangle and that the included angles are equal.