Reasoning and Proof Geometry Review

What would be the correct "given" statements for this diagram?

• T is the midpoint of segment BG and
  ∡B≅∡G

• ∡B≅∡G and ∡A≅∡W

• T is the midpoint of segment BG and ∡A≅∡W

• T is the midpoint of segment AW and ∡A≅∡W

Can the triangles be proven congruent?  If so, how?

• ASA

• AAS

• SAS

• Cannot be proven congruent

What additional information is required for the 2 triangles to be congruent by SSS?

• A

• B

• C

• D

What additional information is required for the 2 triangles to be congruent by SAS?

• A

• B

• C

• D

Which is NOT a test to prove triangles congruent?

• SAA

• SSS

• SSA

• SAS

Which segment is congruent to EF?

• HG

• HF

• GF

• IE

Use the congruency statement to answer the following:

<F = ___

• <H

• <I

• <G

• 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

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)