In the diagram, dg ∥ ef. what additional information would prove that defg is an isosceles trapezoid? a) de ≅ gf b) de ≅ dg c) ef ≅ dg d) ef ≅ gf

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In the diagram, dg ∥ ef. what additional information would prove that defg is an isosceles trapezoid? a) de ≅ gf b) de ≅ dg c) ef ≅ dg d) ef ≅ gf

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a) DE ≅ GF

Step by step explanation:

Because, in the isosceles trapezoids the non-parallel sides are appropriate.

Here, DEFG is a trapezoid that contains,

DG║ EF,

⇒ DG and EF are the parallel sides,

DE and GF are non-parallel sides,

Hence, by the above definition, the given trapezoid is isosceles if DE and GF are appropriate.

That is, DE ≅ GF

⇒ The first option is correct.