Question 8:
ABCD is a rectangle formed by the points A (− 1, − 1), B (− 1, 4), C (5, 4) and D (5, − 1). P, Q, R and S are the mid-points of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS is a square? a rectangle? or a rhombus? Justify your answer.
Answer:
It can be observed that all sides of the given quadrilateral are of the same measure.
However, the diagonals are of different lengths. Therefore, PQRS is a rhombus.
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