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

Front

What is the SAS criterion for triangle similarity?

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, what can be said about their corresponding angles?

Back

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

Front

If the lengths of 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 lengths of the sides of triangle DEF are 6, 8, and 10.

Front

How do you set up a proportion to determine if two triangles are similar?

Back

Front

What is the relationship between the ratios of 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 triangle ABC has an area of 24 square units and is similar to triangle DEF, which has a scale factor of 3, what is the area of triangle DEF?

Back

The area of triangle DEF is 24 * 3^2 = 24 * 9 = 216 square units.

Front

What is the shadow length problem in similar triangles?

Back

If two objects cast shadows at the same time, the ratio of their heights is equal to the ratio of the lengths of their shadows.