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Question
Assertion (A): The figure formed by joining the midpoints of the sides of a quadrilateral ABCD is a square.
Reason (R): Diagonals of the quadrilateral ABCD are not given to be equal and perpendicular to each other.
Options
A is true, R is false.
A is false, R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.
MCQ
Assertion and Reasoning
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Solution
A is false, R is true.
Explanation:
Assertion (A) is false because joining the midpoints of the sides of a general quadrilateral only forms a parallelogram, not a square. Reason (R) is true because the diagonals of quadrilateral ABCD are not specified as equal and perpendicular, which are the required conditions for the inner midpoint quadrilateral to be a square.
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