Explore Similar Triangles and Proportions

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

What needs to be true before setting up proportions to solve for lengths in similar triangles?

Back

DE is parallel to BC.

Front

Find the missing length if the proportion is set up correctly: 35 / ? = 28 / 21

Back

35

Front

Complete the proportion: CB / DM = AC / ?

Back

AD

Front

Find the missing length if the proportion is set up correctly: 18 / ? = 21 / 24

Back

21

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes, with corresponding angles equal and corresponding sides in proportion.

Front

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

Back

Their corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, AC = 6, and DE = 8, what is the length of DF?

Back

DF = 12 (using the ratio of similarity).

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, the triangles are similar.

Front

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

Back

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