Triangle Congruence, Similarity, and Proofs

What does CPCTC stand for?

• Congruent parts of congruent triangles are congruent
• Corresponding parts of congruent triangles are congruent
• Corresponding parts of corresponding triangles are corresponding
• Corresponding parts of congruent triangles are Canadian.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

What congruency postulate proves the triangles congruency?

• SAS
• ASA
• SSS
• HL

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Complete the congruence statement.

• CRP
• PCR
• RPC
• PRC

What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?

• ASA
• SAS
• SSS
• HL

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

When does one use CPCTC?

• Before triangles are congruent
• After triangles are congruent
• Whenever one wants, there are no restrictions
• There is no such thing as CPCTC

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

What is the correct choice for Statement 2?

• Segment GH ≅ Segment KL
• ∠G ≅ ∠K
• Segment GI ≅ Segment KJ
• Segment HI ≅ Segment LJ

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

What is the correct choice for Statement 4?

• Segment SU ≅ Segment VT 
• Prove
• Segment ST ≅ Segment UV
• Definition of Congruence

Tags

CCSS.HSG.CO.B.6

Are the triangles congruent, if yes, why?

• SSS
• ASA
• AAA
• Not Congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

• Symmetric Property of ≅ ; SSS

• Reflexive Property of ≅ ; SAS

• Reflexive Property of ≅ ; SSS

• Symmetric Property of ≅; SAS

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Supply the missing reasons to complete the proof.

Given: ∠Q ≅ ∠T; QR ≅ TR

• 3. ASA

  4.Substitution

• 3. SAS

  4. CPCTC

• 3. AAS

  4. CPCTC

• 3. ASA

  4. CPCTC

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5