Geometry ASA Proofs

• ASA and AAS use 2 different pairs of angles
• ASA uses the included side, but AAS uses the non-included side
• ASA uses the non-included side, but AAS uses the included side
• ASA and AAS use different pairs of sides

• ∠RVS≅∠UVT; alternate interior angles
• ∠SRV≅∠TUV; alternate interior angles
• ∠RVS≅∠UVT; vertical angles
• ∠SRV≅∠TUV; vertical angles

• ∠RVS≅∠TUV
• ∠RVS≅∠TVU
• ∠SRV≅∠TVU
• ∠SRV≅∠TUV

• ∠NKM≅∠LMK & ∠LKM≅∠NMK; alternate interior angles
• KM≅MK; reflexive property
• all of the above
• none of the above

Which is the correct way to write a congruency statement about the two figures shown?

• FED ~ TSR

• FED ~ RST

• FED ~ STR

• FED ~ RTS

• They are all correct.

Which relationships could be the two missing statements? Select the two that apply.

• ∠2≅∠3

• ∠𝐴≅∠𝐴

• Δ𝐴𝐵𝐸~Δ𝐴𝐶𝐷

• Δ𝐸𝐴𝐵~Δ𝐶𝐴𝐷

• ∠NKM≅∠LMK & ∠LKM≅∠NMK; alternate interior angles
• KM≅MK; reflexive property
• all of the above
• none of the above

• Congruent by ASA
• Congruent by HL
• Congruent by SAS
• Not Necessarily Congruent

Congruent by HL

Congruent by SAS

Congruent by SSS

Not Necessarily Congruent

• Congruent by HL

• Congruent by SAS

• Congruent by SSS

• Not Necessarily Congruent

• Congruent by HL
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent