Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

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.

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

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 angles are equal, then the triangles are similar.

Front

What does it mean for two figures to be similar?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about their angles?

Back

Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to 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 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 triangle XYZ is similar to triangle PQR and the length of side XY is 5 and side PQ is 10, what is the scale factor?

Back

The scale factor is 2.

Front

Which of the following is NOT true about similar figures? A) Similar figures always have the same shape. B) Similar figures always have the same size. C) Similar figures always have corresponding angles that are equal. D) Similar figures always have corresponding sides that are proportional.

Back

B) Similar figures always have the same size.