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 Scale Factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Front

How can you determine if two triangles are similar?

Back

By using the Angle-Angle (AA) criterion, Side-Angle-Side (SAS) criterion, or Side-Side-Side (SSS) criterion.

Front

What does the AA criterion state?

Back

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

Front

What does the SAS criterion state?

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.

Front

What does the SSS criterion state?

Back

If the lengths of all three sides of one triangle are in proportion to the lengths of the corresponding sides of another triangle, then the triangles are similar.

Front

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

Back

The scale factor is 2:1.

Front

Are all squares similar?

Back

True, all squares are similar because they have equal angles and their sides are in proportion.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what is the ratio of the sides if it is similar to another triangle with sides of lengths 6 cm, 8 cm, and 10 cm?

Back

The ratio of the sides is 1:2.

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.