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

Tags

CCSS.8.G.A.2

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

• SAS

• SSA

• SSS

• AAA

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5

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

• SSS

• SSA

• AAA

• SAS

Tags

CCSS.HSG.SRT.B.5

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

• Yes, always

• No, never

• Only for right triangles

• Sometimes

Tags

CCSS.8.G.A.2

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

Tags

CCSS.8.G.A.2

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

• AAA

• SSS

• SSA

• SAS

Tags

CCSS.HSG.SRT.B.5

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

Tags

CCSS.HSG.SRT.B.5