Proving Triangle Congruence: Parts 3.1 & 3.2

The video tutorial covers three methods to prove triangle congruence: Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA). Each method is explained with specific conditions and restrictions. The reflexive property is introduced, and three examples are provided to demonstrate the application of these methods in proving triangle congruence.

Which of the following is NOT a method to prove triangles congruent?

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

What does the abbreviation SSS stand for in triangle congruence?

• Side-Angle-Angle

• Side-Angle-Side

• Side-Side-Angle

• Side-Side-Side

In the SAS method, where must the angle be located?

• Anywhere in the triangle

• At the vertex opposite the congruent sides

• At the end of one congruent side

• Between the two congruent sides

What is the abbreviation for Angle-Side-Angle?

• AAS

• SAS

• SSA

• ASA

What does the Reflexive Property state?

• Any two triangles are congruent

• Any two sides are congruent

• Any side or angle is congruent to itself

• Any two angles are congruent

In Example 1, which property is used to prove that LH is congruent to itself?

• Symmetric Property

• Substitution Property

• Transitive Property

• Reflexive Property

In Example 2, what does the midpoint of a segment provide?

• Two congruent sides

• Two congruent segments

• Two congruent angles

• Two congruent triangles

Which method is used to prove triangles MNQ and OMP congruent in Example 2?

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

In Example 3, what is the result of CD bisecting angle ACB?

• Two smaller congruent angles

• Two larger congruent angles

• Two congruent sides

• Two congruent triangles

Which method is used to prove triangles CDA and CDB congruent in Example 3?

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)