Final Exam Review 2 - Similarity

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

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 theorem?

Back

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

Front

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

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

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 10 and 5 respectively, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 2:1.

Front

How do you find the length of a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

If triangle XYZ has sides of lengths 6, 8, and 10, and triangle PQR is similar to triangle XYZ, what are the lengths of the sides of triangle PQR if the shortest side is 3?

Back

The sides of triangle PQR are 3, 4, and 5.

Front

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

Back

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

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to triangle ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The sides of triangle DEF are 6, 8, and 10.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.