Triangle Congruence Proofs Challenge

The video tutorial introduces the concept of proofs, focusing on proving triangle congruence using postulates and theorems. It outlines the steps in constructing a proof, emphasizing the importance of starting with given information and ensuring each statement is justified. The tutorial provides examples of proofs, highlighting common strategies like using vertical angles and the reflexive property. It concludes with practice problems and encourages students to recognize patterns in proofs.

Which of the following is NOT a postulate or theorem used to prove triangle congruence?

• Angle-Angle-Side (AAS)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Side-Side-Angle (SSA)

What is the first step in any proof?

• State the conclusion

• Identify the vertical angles

• Mark the congruent sides

• Write down the given information

Why is it important to state that right angles are congruent in a proof?

• To identify the bisectors

• To mark the angles in the diagram

• To ensure the reader understands that all right angles are equal

• Because not all right angles are 90 degrees

Which of the following is a common place to look for additional information in a proof?

• Bisectors

• All of the above

• Vertical angles

• Parallel lines

What does the reflexive property state?

• Two angles are congruent if they are vertical angles

• A segment is congruent to itself

• Parallel lines create corresponding angles

• A bisector divides an angle into two equal parts

In the example proof, why are angles Q and S stated to be congruent?

• Because they are corresponding angles

• Because they are vertical angles

• Because they are right angles

• Because they are alternate interior angles

What is the reason given for angles PQR and SRT being congruent in the example proof?

• They are corresponding angles

• They are alternate interior angles

• They are vertical angles

• They are right angles

In the second example proof, what property is used to state that segment VX is congruent to itself?

• Reflexive Property

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

What is the final step in proving that two triangles are congruent?

• Stating the congruence of the triangles

• Identifying the given information

• Marking the diagram

• Finding the bisectors

In the second example proof, which congruence criterion is used to prove the triangles are congruent?

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)