6.4 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, 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 determine if two triangles are similar?

Back

By using the AA, SSS, or SAS criteria.

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 it 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 a proportion in the context of similar triangles?

Back

A statement that two ratios are equal, often used to compare the lengths of corresponding sides of similar triangles.

Front

If CB / DM = AC / ?, and you know CB = 4, DM = 2, and AC = 8, what is the missing side?

Back

The missing side is AD = 2.

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal and/or their corresponding sides are not in proportion.