Similar Triangles Practice

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, the triangles are similar (AA ~).

Front

What is the SSS criterion for triangle similarity?

Back

If the sides of one triangle are proportional to the sides of another triangle, the triangles are similar (SSS ~).

Front

What is the SAS criterion for triangle similarity?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, the triangles are similar (SAS ~).

Front

How do you find the scale factor between two similar triangles?

Back

The scale factor is found by dividing the lengths of corresponding sides of the 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

The scale factor is 1:2.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal, and their corresponding sides are not in proportion.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, are they similar?

Back

Yes, they are similar by the SAS criterion.

Front

What is the relationship between the areas of two similar triangles?

Back

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

Front

If the sides of two similar triangles are in the ratio 3:4, what is the ratio of their areas?

Back

The ratio of their areas is 9:16.