Similar Triangles Unit 4 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 AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA ~).

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are in proportion, the triangles are similar (SSS ~).

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, the triangles are similar (SAS ~).

Front

How do you find the height of an object using similar triangles?

Back

Set up a proportion using the heights and shadow lengths of the objects. For example, if a 10 m pole casts an 8 m shadow and a building casts a 14 m shadow, use the proportion: 10/8 = height/14.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of their corresponding sides are proportional.

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

What is the formula to find the missing side in similar triangles?

Back

If triangle ABC ~ triangle DEF, then (AB/DE) = (BC/EF) = (AC/DF). Use this proportion to find the missing side.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar with a side of 6, what is the length of the corresponding side in triangle ABC?

Back

The corresponding side in triangle ABC is 4. (Using the ratio 3:4:5 and the proportion 3/6 = 4/x).

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.