Geometry Proof Triangles

Which segment is congruent to EF?

• HG

• HF

• GF

• IE

Use the congruency statement to answer the following:

• not congruent to another angle

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

• AAA

• AAS

• ASA

• Not necessarily congruent

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

• SAS

• SSS

• Both SSS and SAS

• Not necessarily congruent

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

• AD=AD

• AD=DA

• HD=DN

• HA = AN

Identify the missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior 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

Are these triangles congruent?

• Yes, by ASA

• Yes, by SAS

• Yes, by AAS

• No, this is the SSA one!! (We don't say bad words in Geometry)

Are these triangles congruent?

• Yes, by ASA

• Yes, by SAS

• Yes, by AAS

• No, this is the SSA one!! (We don't say bad words in Geometry)