The information that would prove that DEFG is an isosceles trapezoid is
DE ≅ GF.
What is an isosceles trapezoid?
An isosceles trapezoid is a trapezoid in which the base and it's opposite side are parallel and the length of the non-parallel sides are same.
Here, the given trapezoid:
the coordinates of the points D and G are (- 2, 2) and (1, 2) respectively.
the coordinates of the points E and F are (- 2, 2) and (1, 2) respectively.
Therefore, it is clear that the base of the given trapezoid EF and it's opposite side DG are parallel.
Therefore, the given trapezoid would be isosceles, if DE and GF are equal.
Learn more about an isosceles trapezoid here: https://brainly.com/question/24180285
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