Proving Triangle Congruence with SSS and SAS

This video tutorial covers proving triangle congruence using the SSS and SAS postulates. It explains how congruence can be established with fewer parts and provides detailed proofs for each postulate. The tutorial also introduces the concept of CPCTC, which allows for proving congruence of specific parts of triangles once the triangles themselves are proven congruent.

What does the SSS postulate stand for?

• Side-Side-Side

• Side-Angle-Side

• Angle-Angle-Side

• Angle-Side-Angle

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

• The triangles are right-angled

• The triangles are similar

• The triangles are isosceles

• The triangles are congruent

In the given proof, what property is used to state that segment BD is congruent to itself?

• Substitution Property

• Reflexive Property

• Symmetric Property

• Transitive Property

What does the SAS postulate stand for?

• Side-Angle-Side

• Side-Side-Angle

• Angle-Side-Angle

• Angle-Angle-Side

In the SAS postulate, where is the included angle located?

• Between the two sides

• Outside the triangle

• At the base of the triangle

• At the vertex opposite the base

What is the definition of an angle bisector?

• A line that is parallel to a segment

• A line that is perpendicular to a segment

• A line that divides a segment into two equal parts

• A line that divides an angle into two equal parts

In the proof using SAS, which property is used to state that segment BD is congruent to itself?

• Symmetric Property

• Reflexive Property

• Transitive Property

• Substitution Property

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Similar

• Congruent Parts of Corresponding Triangles are Similar

• Congruent Parts of Corresponding Triangles are Congruent

If two triangles are congruent, what can be said about their corresponding parts?

• They are equal in perimeter

• They are congruent

• They are similar

• They are equal in area

In the final proof, what is the goal to prove using CPCTC?

• Two sides are congruent

• Two angles are congruent

• Two triangles are congruent

• Two segments are congruent