6.1-3 Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the Vertical Angle Theorem?

Back

It states that vertical angles are congruent, meaning if two lines intersect, the angles opposite each other are equal.

Front

What are alternate interior angles?

Back

Angles that are on opposite sides of a transversal and inside two parallel lines; they are congruent.

Front

What is the Corresponding Angles Postulate?

Back

It states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Front

How do you denote that two angles are congruent?

Back

Front

What is the Third Angles Theorem?

Back

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

Front

What is the definition of parallel lines?

Back

Lines in a plane that never meet; they are always the same distance apart.

Front

What is the significance of congruent triangles in geometry?

Back

They are used to prove that two figures are identical in shape and size, which is essential in various geometric proofs.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The lengths of corresponding sides of congruent triangles are equal.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size, allowing for rotation, reflection, or translation.