Triangle Congruence Proofs and CPCTC Challenge

What is the first step in proving that triangles are congruent?

• Apply the CPCTC theorem

• Identify the given information

• Mark all angles

• Use the reflexive property

Which theorem states that vertical angles are congruent?

• Angle-Side-Angle Theorem

• Vertical Angles Theorem

• CPCTC

• Reflexive Property

What does CPCTC stand for?

• Congruent Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

When a segment is congruent to itself, which property is used?

• Angle-Side-Angle Theorem

• Vertical Angles Theorem

• CPCTC

• Reflexive Property

How do you determine if the triangles are congruent by angle-side relationships?

• Check if the side is congruent to itself

• Check if the side is between the two angles

• Check if the angles are vertical

• Check if the angles are right angles

What is the reason for stating that two angles are congruent when they are right angles?

• Vertical Angles Theorem

• Definition of Midpoint

• Reflexive Property

• Right Angles are Congruent

What does it mean when a segment bisects an angle?

• The angle is congruent to another angle

• The angle is divided into two equal parts

• The segment is perpendicular to the angle

• The segment is congruent to itself

Which property is used when a shared side is marked congruent to itself?

• CPCTC

• Angle-Side-Angle Theorem

• Vertical Angles Theorem

• Reflexive Property

What is the definition of a midpoint?

• A point that is at the end of a segment

• A point that divides a segment into two equal parts

• A point that divides an angle into two equal parts

• A point that is congruent to itself

Which theorem is used to prove that corresponding parts of congruent triangles are congruent?

• Reflexive Property

• Angle-Side-Angle Theorem

• Vertical Angles Theorem

• CPCTC