given: ∠abc and ∠fgh are right angles; \\(\\overline{ba} \\parallel \\overline{gf}\\); \\(\\overline{bc}…

given: ∠abc and ∠fgh are right angles; \\(\\overline{ba} \\parallel \\overline{gf}\\); \\(\\overline{bc} \\cong \\overline{gh}\\) prove: \\(\\triangle abc \\cong \\triangle fgh\\) step 1: we know that \\(\\angle abc \\cong \\angle fgh\\) because all right angles are congruent. step 2: we know that \\(\\angle bac \\cong \\angle gfh\\) because corresponding angles of parallel lines are congruent. step 3: we know that \\(\\overline{bc} \\cong \\overline{gh}\\) because it is given. step 4: \\(\\triangle abc \\cong \\triangle fgh\\) because of the \\(\\circ\\) asa congruence theorem. \\(\\circ\\) aas congruence theorem. \\(\\circ\\) third angle theorem. \\(\\circ\\) reflexive property.

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