Triangle Congruence Review

Which is NOT a test to prove triangles congruent?

• SAA
• SSS
• SSA
• SAS

Tags

CCSS.8.G.A.2

What are the five ways to prove triangles congruent?

• SSS, ASA, AAS, SAS, HL
• SSS, SSA, HL, AAS, SAS
• SAS, SSA, HL, AAS, SSS
• HL, SAS, SSA, SSS, ASA

Tags

CCSS.HSG.SRT.B.5

Match the following

• H-L (R)

• 
• SAS

• 
• SSS

• 
• AAS

• 
• ASA

• 

You want to prove that the corresponding sides of 2 triangles are congruent to each other. What are your steps?

• Use Geometry tools (postulates or theorems) to secure additional congruent sides or angles

• List any given Congruent angles & sides

• State the two triangles are congruent by 1 of these: SSS, SAS, ASA, AAS, or HL(R).

• State that the remaining corresponding sides and angles are congruent

  (CPCTC)

Tags

CCSS.HSG.SRT.B.5

Match the following common "proof" tools we often use.

• Parallel lines → "≅" Alt Int ∡s

• Alternate interior Angles Theorem

• cutting an angle/segment into 2 ≅ parts

• vertical angles

• congruent angles that share a vertex

• Midpoint

• congruent, adjacent segments

• Bisection

• "≅" Alt Int ∡s → lines are parallel

• Converse of Alternate interior Angles Theorem