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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