Congruent Triangles Proof Practice SSS and SAS

Put the 4 steps of this proof in the correct order.

Will this proof need to use CPCTC?

• No, because the "Prove" statement is about triangles.

• Yes, because there are vertical angles.

Fill in the two missing steps in the proof.

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

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

• Reflexive Property, Vertical Angles Theorem

• Transitive Property, SSS (Side-Side-Side)

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

State if the two triangles are congruent.  If they are, state how you know.

• A

• B

• C

• D

Determine the correct response for #2 in the proof.

• All right angles are congruent

• Reflexive Property

• Triangle HEF is congruent to Triangle GFE

• Corresponding Parts of Congruent Triangles are Congruent

State if the two triangles are congruent. If they are, state which theorem you would use.

• Yes, SAS

• Yes, SSS

• Yes, HL

• Yes, ASA

• Not Congruent

Explain how you would prove that line AB is congruent to line DE.

• AAS and CPCTC

• SAS and CPCTC

• ASA and CPCTC

• HL and CPCTC

In this diagram, DE is congruent to JI and angle D is congruent to angle J. Which additional information is sufficient to prove that ∆DEF is congruent to ∆JIH?

• 
• 
• 
• 

In this diagram, CD is the perpendicular bisector of AB. The two-column proof shows that AC is congruent to BC. Which theorem would justify step 6?

• AAS

• ASA

• SAS

• SSS