Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the AA criterion for triangle similarity?

Back

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

Front

What is the SAS criterion for triangle similarity?

Back

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 (SAS ~).

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar (SSS ~).

Front

How do you find the scale factor of similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of the two triangles.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB and DE are 4 and 8 respectively, what is the scale factor?

Back

Front

What is the relationship between the areas of similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Front

Back

Front

How can you determine if two triangles are similar using proportions?

Back

Set up a proportion using the lengths of corresponding sides and check if the ratios are equal.

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which is a key criterion for establishing similarity.