Triangle Congruence and Postulates

The video tutorial introduces congruent triangles and focuses on two postulates: Side-Side-Side (SSS) and Side-Angle-Side (SAS). It explains how these postulates can be used to prove triangle congruence, provides examples, and offers practice problems to reinforce learning. The tutorial concludes with a summary and additional resources for practice.

What is required for two triangles to be congruent?

• Three congruent angles and two congruent sides

• Three congruent angles and three congruent sides

• Two congruent angles and three congruent sides

• Two congruent angles and two congruent sides

Which postulate states that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Angle (AAA)

In the SAS postulate, what must be true about the angle?

• It must be the smallest angle in the triangle

• It must be a right angle

• It must be an included angle between the two sides

• It must be the largest angle in the triangle

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

• Angle-Side-Angle (ASA)

• Angle-Angle-Angle (AAA)

• Side-Angle-Side (SAS)

• Side-Side-Side (SSS)

If two triangles have two angles and a non-included side congruent, what can be said about their congruence?

• They are congruent by SAS

• They are congruent by SSS

• They are not necessarily congruent

• They are congruent by ASA

In the example with triangle B.I.G, which postulate was used to prove congruence?

• Angle-Side-Angle (ASA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Angle-Side (AAS)

What is the significance of a shared side in proving triangle congruence?

• It can be ignored as it does not affect congruence

• It makes the triangles similar but not congruent

• It can be used to establish congruence by SSS or SAS

• It only affects the angles of the triangles

What additional information is needed to prove congruence by SAS if two sides and an angle are already known?

• Another angle

• Another side

• The area of the triangle

• The perimeter of the triangle

Which postulate requires three pairs of corresponding sides to be congruent?

• Angle-Angle-Side (AAS)

• Side-Side-Side (SSS)

• Angle-Side-Angle (ASA)

• Side-Angle-Side (SAS)

What is the result when all three angles of two triangles are congruent?

• The triangles are congruent

• The triangles are similar

• The triangles are identical

• The triangles are neither congruent nor similar