+2 votes
in Mathematics by kratos

ABCD is a rectangle formed by joining the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, −1). P, Q, R and * are the mid-points of sides AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square? a rectangle? or a rhombus? Justify your answer.

1 Answer

+6 votes
by kratos
 
Best answer

Here all sides of given quadrilateral is of same measure but the diagonals are of different lengths. So, PQRS is a rhombus.

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