Enjoy 9 points!!! In a quadrilateral ABCD, AB=BC=CD=DA. P is a point such that BP=DP. Prove that A,P,C are collinear.....
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ABCD is a quadrilateral in which all 4 sides are equal.
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.
Hence the rhombus now becomes a square.
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