Q2 W2 Flashcard 1(Parallel lines, transversal, CPCTC)

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines cut by a transversal. They are equal in measure.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used in proofs to show that corresponding parts of congruent triangles are equal.

Front

What is the ASA congruence criterion?

Back

The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is the SAS congruence criterion?

Back

The SAS (Side-Angle-Side) criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

How do you identify corresponding angles in a transversal?

Back

To identify corresponding angles, look for angles that are in the same relative position at each intersection of the transversal with the parallel lines.

Front

What is the relationship between vertical angles?

Back

Vertical angles are always equal in measure, meaning if two angles are vertical angles, they have the same degree measure.

Front

What is the significance of CPCTC in triangle proofs?

Back

CPCTC is significant in triangle proofs as it allows us to conclude that corresponding parts of two congruent triangles are equal, which is essential for completing proofs.

Front

What is the difference between corresponding angles and alternate interior angles?

Back

Corresponding angles are on the same side of the transversal and in corresponding positions, while alternate interior angles are on opposite sides of the transversal and inside the parallel lines.