Proofs Using CPCTC

The video tutorial explains the concept of congruent triangles, highlighting that they have the same shape and size but may differ in positioning. It discusses various methods to prove triangle congruency, such as the Side Angle Side (SAS) postulate and the Hypotenuse Leg (HL) theorem. The CPCTC concept is introduced to prove corresponding parts of congruent triangles. The tutorial provides examples of proofs using these concepts, demonstrating how to prove angles and sides congruent through structured proofs like two-column proofs.

What is required to prove two triangles congruent using the SAS postulate?

• One pair of corresponding congruent angles and two pairs of congruent sides

• Two pairs of corresponding congruent angles and one pair of congruent sides

• Two pairs of corresponding congruent sides and the included angles congruent

• Three pairs of corresponding congruent sides

What does CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Consistent

• Corresponding Parts of Congruent Triangles are Consistent

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

In a proof, what is the purpose of using CPCTC?

• To prove angles are supplementary

• To prove corresponding parts of congruent triangles are congruent

• To prove triangles are identical

• To prove triangles are similar

Which property is used to deduce that a line segment is congruent to itself?

• Symmetric Property

• Reflexive Property

• Transitive Property

• Associative Property

What postulate is used to prove triangle VUX is congruent to triangle VWX?

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

Which postulate is used to prove triangle LKJ is congruent to triangle LMN?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

What is the significance of vertical angles in proving triangle congruency?

• Vertical angles are always equal to 90 degrees

• Vertical angles are always complementary

• Vertical angles are always supplementary

• Vertical angles are always congruent