Triangle Congruence Techniques: SSS, SAS, ASA, AAS, HL

What does it mean if two triangles are congruent?

• They have the same size and shape.

• They have the same color.

• They have the same angles but different sides.

• They are both right triangles.

What theorem is used to prove triangle congruence by three congruent sides?

• AAS

• SSS

• ASA

• SAS

In the SAS congruence theorem, where is the angle located?

• Outside the triangle

• At any vertex of the triangle

• Between the two congruent sides

• Opposite the longest side

Which theorem requires an angle to be between two sides to prove congruence?

• HL

• ASA

• SSS

• SAS

What does CPCTC stand for?

• Congruent Points of Corresponding Triangles are Congruent

• Corresponding Points of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

In proving triangle congruence, what does the term 'included side' refer to?

• The shortest side of the triangle

• The side between two angles being considered

• The side opposite the right angle in a right triangle

• The longest side of the triangle

Which theorem is specifically used for right triangles?

• HL

• SAS

• ASA

• AAS

How can you prove two triangles are congruent without knowing all sides and angles?

• By proving they are both isosceles

• Using congruence theorems like SAS or ASA

• By showing they have the same perimeter

• By proving they have the same area

Which theorem involves two angles and a non-included side to prove congruence?

• AAS

• SSS

• ASA

• SAS

What property is used when a side is shared between two triangles?

• Distributive Property

• Reflexive Property

• Symmetric Property

• Transitive Property