Similar Triangles Flashcard Review

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 Angle-Angle (AA) similarity criterion?

Back

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

Front

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

Back

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

Front

What is the Side-Angle-Side (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 set up a proportion to find a missing side in similar triangles?

Back

Set up a ratio of the lengths of corresponding sides of the triangles and solve for the missing side.

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

If two triangles are similar, how do you find the length of a missing side?

Back

Use the proportion of the lengths of corresponding sides to set up an equation and solve for the missing side.

Front

What does it mean if two triangles are not similar?

Back

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

Front

If triangle XYZ is similar to triangle PQR and XY = 5 cm, PQ = 10 cm, what is the scale factor?

Back

The scale factor 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.