हिंदी

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

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प्रश्न

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.

विकल्प

  • 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
अभिकथन और तर्क
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उत्तर

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Mid-point Theorem and Its Converse [Including Intercept Theorem] - TEST YOURSELF [पृष्ठ १७३]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 11 Mid-point Theorem and Its Converse [Including Intercept Theorem]
TEST YOURSELF | Q 1. (g) | पृष्ठ १७३
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