Triangle Congruence Proofs and CPCTC

This video tutorial covers triangle congruence proofs, focusing on marking given congruences, using vertical angles, and applying angle-side-angle principles. It includes problem-solving examples and explains how parallel lines can lead to congruent angles. The tutorial concludes with a final problem, reinforcing the concepts of congruence and corresponding parts of congruent triangles.

What is the first step when given that segment AC is congruent to segment AR?

• Identify vertical angles

• Mark the segments

• Mark the angles

• Identify shared sides

Why can't we say angle A is congruent to angle A when identifying vertical angles?

• Because they are not congruent

• Because they are not the same angle

• Because they are not marked

• Because they are not given

What is the reason for stating that angle CAT is congruent to angle RAD?

• Given

• Alternate Interior Angles Theorem

• Reflexive Property

• Vertical Angles are Congruent

What is the congruence criterion used when two angles and the included side are known?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Corresponding

What should you do when given a non-congruence statement like 'angle SUT and angle VUT are right angles'?

• Mark the angles

• Identify vertical angles

• Identify shared sides

• Convert it into a congruence statement

What is the reason for stating that segment TU is congruent to segment TU?

• Alternate Interior Angles Theorem

• Given

• Vertical Angles are Congruent

• Reflexive Property

When given parallel lines, what shapes help identify congruent angles?

• M or W shapes

• X or Y shapes

• L or T shapes

• Z or N shapes

What is the reason for stating that angle BAC is congruent to angle DEC when given parallel lines?

• Alternate Interior Angles Theorem

• Vertical Angles are Congruent

• Reflexive Property

• Given

What is the final step when proving that segment PM is congruent to segment ON after proving triangle congruence?

• Use Reflexive Property

• Use Vertical Angles are Congruent

• Use CPCTC

• Use Given