Proving Triangles Similar & Review

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

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

Back

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

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including those angles are proportional, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

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

Front

How do you determine if two triangles are similar using their angles?

Back

Check if all corresponding angles are equal; if they are, the triangles are similar.

Front

What is the relationship between the lengths of corresponding sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

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

Back

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

Front

How can you use proportions to find the height of a building using shadows?

Back

Set up a proportion using the height of the pole and its shadow length compared to the height of the building and its shadow length.

Front

What is the formula to find the height of an object using similar triangles?

Back

Height of object = (Height of known object / Length of known object's shadow) * Length of object's shadow.

Front

What does it mean if two triangles are not similar?

Back

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