similar triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and the ratios of their corresponding sides are proportional.

Front

What is the criteria for triangles to be similar?

Back

Two triangles are similar if all pairs of corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal.

Front

What are corresponding angles?

Back

Angles in two or more triangles that are in the same relative position.

Front

What are corresponding sides?

Back

Sides in two or more triangles that are in the same relative position.

Front

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

Back

Angle A is equal to Angle D, Angle B is equal to Angle E, and Angle C is equal to Angle F.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Front

If Triangle BAC is similar to Triangle EDF and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Front

How can you find an unknown angle in similar triangles?

Back

Use the fact that corresponding angles are equal to find the unknown angle.

Front

What is the significance of the AA criterion in triangle similarity?

Back

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