Question

Please assist with this 2 column proof​

Answer 1

Answer:

  use the symmetric and transitive properties of congruence

Step-by-step explanation:

(1) ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF; given

(2) ∠DEF ≅ ∠GHI; symmetric property of congruence

(3) ∠ABC ≅ ∠GHI; transitive property of congruence (QED)

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Additional comment

The transitive property says if A≅B and B≅C, then A≅C. We used the symmetric property to swap sides of the congruence symbol with DEF and GHI to put the statement in the form to match the transitive property.

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You will note we used the form ...

  (statement number) statement; reason

with statement and reason separated by a semicolon.