Corresponding Parts of Triangles

Front

What does it mean for triangles to be similar (ABC∼XYZ)?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What are corresponding angles in similar triangles?

Back

Corresponding angles are angles that are in the same relative position in two different triangles.

Front

If ∠B corresponds to ∠Y in similar triangles, what can be said about their measures?

Back

∠B and ∠Y have equal measures.

Front

What is the relationship between corresponding sides in similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

If ∠E corresponds to ∠S, what can we conclude about these angles?

Back

∠E and ∠S are equal in measure.

Front

How do you identify corresponding sides in similar triangles?

Back

Corresponding sides can be identified by matching the vertices of the triangles based on their corresponding angles.

Front

What is the corresponding side to AB in triangle XYZ?

Back

The corresponding side to AB is PR.

Front

If ∠A corresponds to ∠L, what does this imply about their relationship?

Back

It implies that ∠A and ∠L are equal in measure.

Front

What is the significance of the symbol '≅' in geometry?

Back

The symbol '≅' indicates that two angles or segments are congruent, meaning they have the same measure.

Front

What is the first step in solving problems involving corresponding parts of triangles?

Back

Identify the corresponding angles and sides based on the similarity of the triangles.