Congruency What Is Missing

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• SAS

• SSS

• Both SSS and SAS

• Not necessarily congruent

Fill in the missing proofs.

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

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

• Reflexive Property, Vertical Angles Thm.

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

What is the "statement" for step 2 of the proof?

• AD=AD

• AD=DA

• HD=DN

• HA = AN

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

• AD=DA

• AN = AH

• HD=ND

• HD=DN

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Identify the missing statement or reason

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

• Reflexive Property

• Definition of Midpoint

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 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

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• Yes by ASA

• Yes by AAS

• Yes by SSA

• Not congruent

Congruent by

• SSS

• SAS

• ASA

• AAS