Congruent Triangle Proofs

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

Tags

CCSS.HSG.SRT.B.5

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

• $\overline{QY}\cong\overline{QY}$

• $\overline{NY}\cong\overline{PY}$

• ∠N ≅ ∠P

• $\overline{QY}$ 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 the "statement" for step 2 of the proof?

• $\overline{AD}\cong\overline{AD}$

• $\overline{AD}\cong\overline{DA}$

• $\overline{HD}\cong\overline{DN}$

• $\overline{HA}\cong\overline{AN}$

What is the "statement" for step 3 of the proof?

• $\overline{HT}\cong\overline{TA}$

• $\overline{HA}\cong\overline{HA}$

• $\overline{AM}\cong\overline{MA}$

• $\overline{MA}\cong\overline{MH}$ MA=MH

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

What is the "statement" for step 3 of the proof?

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

Determine if the triangles are congruent, if "yes" state the theorem.

• yes, SAS
• not congruent
• yes, ASA
• yes, AAS

Tags

CCSS.HSG.SRT.B.5

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Tags

CCSS.HSG.CO.C.10

Which of the following is NOT a triangle congruence criteria?

• SAS
• AAS
• SSA
• ASA

Tags

CCSS.HSG.SRT.B.5