The teacher said "If you join the midpoints of the sides of an irregular quadrilateral you will always get …". Before the teacher could finish this statement four students guessed what the next words could be.

Arun guessed ‘a square’, Bronwyn guessed ‘a parallelogram’, Colin guessed ‘a rectangle’ and Doreen guessed ‘another quadrilateral similar to the original’. Who was right? Justify your answer.

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