TMUA 2018 Paper 2 Question 5

P2·Coordinate Geometry, Logic & Quantifiers·5.5Official · 2018 · Q5
quadrilateralperpendicular-diagonalscounterexamplevarignon
The two diagonals of the quadrilateral are perpendicular.Consider the following statements:
I
One of the diagonals of is a line of symmetry of .
II
The midpoints of the sides of are the vertices of a square.
Which of these statements is/are necessarily true for the quadrilateral ?

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