If quadrilateral abcd is an isosceles trapezoid, which statements must be true? check all that apply. (pick more than one) [] bc ∥ ad [] bd ⊥ ac [] ba ≅ cd [] be ≅ ed [] ∠cba ≅ ∠bcd

If quadrilateral ABCD is an isosceles trapezoid

The true statements among the given options  are written below

BC || AD

So option (1) is correct.

AB ≅ DC  

So option (3) is correct

∠CBA ≅ ∠BCD

So option (5) is correct.

In an isosceles trapezoid there is one pair of  legs of equal length and a pair of parallel  lines.

Given that quadrilateral ABCD is a isosceles trapezoid.

We have to check that out of the given options hold good for the isosceles trapezoid

[] BC ∥ AD

[] BD ⊥ AC

[] BA ≅ CD

[] BE ≅ ED

[] ∠CBA ≅ ∠BCD

In the given trapezoid ABCD

BC || AD ( pair of parallel sides )

So option (1) is correct.

AB ≅ DC  ( For an isosceles trapezoid legs are equal)

So option (3) is correct

∠CBA ≅ ∠BCD (According to  the property of isosceles  trapezoid )

So option (5) is correct.

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