Exploring Two Column Triangle Congruency Proofs

Which of the following is NOT a method to prove triangle congruence?

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Angle (AAA)

• Side-Side-Side (SSS)

In the first practice problem, which angles are congruent due to being vertical angles?

• Angle DEA and Angle CEA

• Angle DEB and Angle CEB

• Angle AEB and Angle CEB

• Angle DAE and Angle CAE

What is the reasoning used to determine the congruence of triangles in the second practice problem?

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

What is the first step in writing a formal geometric proof?

• State the proof statement

• List the given information

• Identify the congruent triangles

• Draw the diagram

In a two-column proof, what do the 'statements' represent?

• What we know to be true

• The given information

• The reasons why something is true

• The conclusion of the proof

What property states that a segment or angle is always congruent to itself?

• Transitive Property

• Reflexive Property

• Vertical Angles Theorem

• Symmetric Property

In the example proof, which property is used to conclude that the shared side is congruent to itself?

• Transitive Property

• Symmetric Property

• Reflexive Property

• Vertical Angles Theorem

When proving triangles congruent by Angle-Side-Angle (ASA), where is the side located?

• Adjacent to one angle

• Outside the two angles

• Opposite to one angle

• Between the two angles

What should you do after using all the given information in a proof?

• Conclude the proof

• Start a new proof

• Look for additional information in the diagram

• Rewrite the given information

Which method is used to prove triangles congruent when two pairs of angles and a non-included side are known?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)