Exploring SSS and SAS Triangle Congruence

This video tutorial covers triangle congruence, focusing on the Side-Side-Side (SSS) and Side-Angle-Side (SAS) postulates. It explains the concepts of included angles and sides, and why certain methods like Angle-Angle-Angle (AAA) and Side-Side-Angle (SSA) do not prove congruence. The video includes examples and practice problems to reinforce understanding.

What is an included angle?

• A side between two angles

• A side opposite to an angle

• An angle between two sides

• An angle opposite to a side

Which side is the included side of angles A and C in a triangle?

• Side CA

• Side BC

• Side AB

• Side AC

If three sides of one triangle are congruent to three sides of another triangle, what can be concluded?

• The triangles are similar

• The triangles are congruent

• The triangles are isosceles

• The triangles are right triangles

What is the abbreviation for the Side-Side-Side postulate?

• SAS

• SSA

• SSS

• AAA

Which postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent?

• SSS

• SSA

• AAA

• SAS

What is the abbreviation for the Side-Angle-Side postulate?

• SSS

• SSA

• AAA

• SAS

Can the Angle-Angle-Angle (AAA) postulate be used to prove triangle congruence?

• Yes, always

• No, never

• Only for right triangles

• Sometimes

Why can't the Side-Side-Angle (SSA) postulate be used to prove triangle congruence?

• It proves similarity, not congruence

• It only works for right triangles

• It doesn't provide enough information

• It spells a bad word backwards

If a triangle has three pairs of corresponding congruent sides, which postulate can be used to prove congruence?

• AAA

• SSS

• SSA

• SAS

What additional information is needed to prove that two triangles with two pairs of congruent sides are congruent?

• An included angle

• A non-included angle

• A third side

• A third angle