tmua 2018 Q5

tmua · Uk · paper2 1 marks Proof True/False Justification
The two diagonals of the quadrilateral $Q$ are perpendicular.
Consider the following statements:
I One of the diagonals of $Q$ is a line of symmetry of $Q$.
II The midpoints of the sides of $Q$ are the vertices of a square.
Which of these statements is/are necessarily true for the quadrilateral $Q$ ?
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The two diagonals of the quadrilateral $Q$ are perpendicular.

Consider the following statements:

I One of the diagonals of $Q$ is a line of symmetry of $Q$.

II The midpoints of the sides of $Q$ are the vertices of a square.

Which of these statements is/are necessarily true for the quadrilateral $Q$ ?