Proving Triangle Congruence with ASA and AAS

Which of the following theorems can be used to prove that two triangles are congruent without matching every angle and side?

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

In the ASA theorem, what is the 'included side'?

• Any side of the triangle

• The side adjacent to one of the congruent angles

• The side between the two congruent angles

• The side opposite to the congruent angles

What property allows us to say that segment DB is congruent to itself in a proof?

• Substitution Property

• Symmetric Property

• Transitive Property

• Reflexive Property

When two lines are parallel and a transversal intersects them, which angles are congruent?

• Adjacent angles

• Vertical angles

• Corresponding angles

• Alternate interior angles

What theorem states that vertical angles are congruent?

• Vertical Angles Theorem

• Transversal Theorem

• Alternate Interior Angles Theorem

• Corresponding Angles Theorem

In the AAS theorem, which side is considered?

• Any side of the triangle

• The side not included between the two angles

• The side opposite to one of the angles

• The side between the two angles

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Corresponding

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

If two triangles share a common side, which property is used to state that the side is congruent to itself?

• Substitution Property

• Reflexive Property

• Symmetric Property

• Transitive Property

What is the definition of a segment bisector?

• A line that divides a segment into two equal parts

• A line that intersects a segment at any point

• A line that is parallel to a segment

• A line that is perpendicular to a segment

Which theorem is used when two angles and a non-included side are known to be congruent in two triangles?

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)