if in a quadrilateral abcd angle a=90° and ab=bc=cd=da, then abcd is a square
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YES according to properties of square ABCD is a square because you have given that <a=90° , and in any quad. if one angle is right then all angles are right hence <a=<b=<c=<d=90° also ab=bc=cd= da
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Answer:ABCD is a quadrilateral in which all 4 sides are equal.
Yes
Any quadrilateral having all 4 sides equal is called a rhombus.
However, in a rhombus the measures of the angles can be anything other than 90deg.
Since 1 angle of the quad ABCD is 90deg, then remaining will also be 90deg because the sides are of equal lengths.
Therefore it is a square
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