Use a Two Column Proof to Prove Congruence Using CPCTC - Congruent Triangles

The video tutorial covers problem 13, focusing on proving congruence between angles and triangles using the CPCTC principle. It begins with identifying given information and explores various congruence theorems like side-angle-side and angle-side-angle. The tutorial demonstrates proving triangle congruence using vertical angles and concludes with a final proof showing congruent angles.

What does CPCTC stand for in geometry?

• Corresponding Parts of Congruent Triangles are Equal

• Congruent Parts of Congruent Triangles are Congruent

• Congruent Parts of Congruent Triangles are Equal

• Corresponding Parts of Congruent Triangles are Congruent

Which of the following is a given congruence in the problem?

• Angle K is congruent to angle N

• Line OL is congruent to line ML

• Angle O is congruent to angle Y

• Line OM is congruent to line LN

Which of the following is NOT a valid congruence theorem?

• Angle-Side-Angle (ASA)

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

Why can't the Side-Angle-Side (SAS) theorem be used in this problem?

• The lines are not parallel

• There is no right angle

• The angles are not given as equal

• The sides are not given as equal

What is the reason for using the Angle-Side-Angle (ASA) theorem in this proof?

• There is a right angle

• The sides are equal

• The angles are vertical angles

• The lines are parallel

What is the final step in proving the triangles congruent?

• Using the Angle-Angle-Side (AAS) theorem

• Using the Hypotenuse-Leg (HL) theorem

• Using the Angle-Side-Angle (ASA) theorem

• Using the Side-Side-Side (SSS) theorem

What does the proof conclude about angles KJM and N?

• They are equal because of parallel lines

• They are not equal because of different triangles

• They are congruent because of CPCTC

• They are not congruent