Proving Triangles Congruent Exploration

Can the triangles be proven congruent?  If so, how?

• ASA
• AAS
• SAS
• Cannot be proven congruent

What missing piece of information is needed to prove the triangles congruent using ASA?

• GC = CD
• CE = CD
• ∠GCE≅∠BCE
• BD = GE

What missing piece of information is needed to prove the triangles congruent using SAS?

• ∠F≅∠Q
• ∠G≅∠R
• ∠H≅∠S
• FH = QS

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• ASA
• AAS
• Not Possible

What does CPCTC stand for?

• Corresponding Parts of Congruent Triangles are Congruent
• Congruent Parts of Congruent Triangles are Corresponding
• Colorful Pieces of Corresponding Triangles are Congruent
• Congruent Pieces of Congruent Triangles are Congruent

What is the missing piece of information required to prove these triangles congruent?

• QY ≅ QY
• NY ≅ PY
• ∠N ≅ ∠P
• QY is the perpendicular bisector

What are the 2 missing pieces of information?

• Transitive Property, SAS(Side-Angle-Side)
• Reflexive Property, SAS(Side-Angle-Side)
• Transitive Property, SSS(Side-Side-Side)
• Reflexive Property, SSS(Side-Side-Side)

What is #4 Statement?

• ∠MNL ≌ ∠ONP

• MN ≌ ON

• N ≌ N

• MO ≌ OM

What is #3 Reason?

• Same Line

• Perpendicular Lines

• Segment Bisector

• Reflexive Property

What is #3 Reason?

• Alternate Exterior Angles

• Alternate Interior Angles

• Vertical Angles

• Angle Bisector