Triangle Proofs in Geometry

The video tutorial covers the postulates for proving triangle congruence, including SSS, SAS, AAS, ASA, and HL. It provides tips for identifying congruent sides and angles in proofs, such as looking for midpoints, bisectors, and shared sides or angles. The tutorial includes example proofs demonstrating the use of these postulates, specifically SSS and AAS, and explains how to use triangle congruence to prove angles are congruent using CPCTC.

Which of the following is NOT a postulate for proving triangle congruence?

• ASA

• SSA

• SSS

• SAS

Tags

CCSS.HSG.SRT.B.5

What does the term 'midpoint' indicate in a triangle proof?

• An angle is bisected

• Two sides are congruent

• Two angles are congruent

• A segment is bisected

Tags

CCSS.HSG.CO.C.9

If a segment is bisected, what can you conclude?

• The segment is divided into two congruent angles

• The segment is parallel to another segment

• The segment is perpendicular to another segment

• The segment is divided into two congruent segments

Tags

CCSS.4.G.A.1

What property states that a line segment is congruent to itself?

• Substitution Property

• Symmetric Property

• Reflexive Property

• Transitive Property

Tags

CCSS.HSG.SRT.B.5

Which of the following is a clue that two angles are congruent?

• The angles are adjacent

• The angles are vertical

• The angles are complementary

• The angles are supplementary

Tags

CCSS.7.G.B.5

What does the term 'alternate interior angles' refer to?

• Angles that are supplementary

• Angles on the same side of a transversal

• Angles on opposite sides of a transversal

• Angles that are adjacent to each other

Tags

CCSS.8.G.A.5

In the example proof, what is the reason given for stating that VS is congruent to VS?

• Definition of bisect

• Transitive Property

• Definition of midpoint

• Reflexive Property

Tags

CCSS.HSG.SRT.B.5

What postulate is used to prove that triangle RSV is congruent to triangle TSV?

• AAS

• SAS

• ASA

• SSS

Tags

CCSS.HSG.SRT.B.5

In the second example proof, what does the bisecting of angle STU indicate?

• The angle is complementary

• Two sides are congruent

• The angle is supplementary

• Two angles are congruent

Tags

CCSS.HSG.CO.C.9

What does the abbreviation CPCTC stand for?

• Congruent Parts of Corresponding Triangles are Congruent

• Corresponding Parts of Congruent Triangles are Congruent

• Congruent Parts of Corresponding Triangles are Complementary

• Corresponding Parts of Congruent Triangles are Complementary

Tags

CCSS.HSG.SRT.B.5