Proving Triangle Congruence: Key Postulates and Proofs

The video tutorial explains how to determine if pairs of triangles are congruent using different postulates. It covers the Angle-Side-Angle (ASA), Side-Side-Side (SSS), and Side-Angle-Side (SAS) postulates, providing examples for each. Additionally, it discusses a scenario where congruence cannot be determined due to the Side-Side-Angle (SSA) condition, which is not a valid postulate for proving triangle congruence.

What postulate is used when two angles and the included side of one triangle are congruent to those of another?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Angle-Side (AAS)

• Angle-Side-Angle (ASA)

Which postulate is confirmed by having two angles and the included side congruent?

• ASA

• SSA

• SSS

• SAS

If three sides of one triangle are congruent to three sides of another triangle, which postulate applies?

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

In which scenario is the SSS postulate applicable?

• Two sides and included angle are congruent

• Three sides are congruent

• Two angles and non-included side are congruent

• Two sides and non-included angle are congruent

Which postulate is used when two sides and the included angle of one triangle are congruent to those of another?

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Angle-Angle-Side (AAS)

What does the congruence of vertical angles imply in triangle congruence?

• ASA postulate

• SAS postulate

• SSS postulate

• SSA condition

What is necessary for the SAS postulate to apply?

• Two angles and any side are congruent

• Two sides and any angle are congruent

• Two sides and the included angle are congruent

• Three sides are congruent

Can triangle congruence be determined using the Side-Side-Angle (SSA) condition?

• Yes, but only under certain conditions

• Not mentioned in the video

• Yes, always

• No, never

What is the result when the angle is not included between the congruent sides?

• SSS postulate applies

• ASA postulate applies

• SAS postulate applies

• No congruence can be determined

What does sharing a common side in triangles typically indicate?

• SAS congruence

• ASA congruence

• Cannot determine congruence

• SSS congruence