Question

△ghj is equilateral, ∠ihj ≅ ∠jgk. complete the proof that (overline{jk}) ≅ (overline{gi}).

1 △ghj is equilateral
2 ∠ihj ≅ ∠jgk given
3 (overline{hi}) ≅ (overline{gk}) given
4 (overline{gj}) ≅ (overline{hj}) given
5 definition of equilateral triangle

Explanation:

Step1: Use the property of equilateral triangle

Since \(\triangle GHJ\) is equilateral, by the definition of an equilateral triangle, all its sides are equal. So, \(GJ = HJ=GH\)

Answer:

\(GJ = HJ = GH\)