Consider the following statements:<br>1. The diagonals of a trapezium divide each other proportionally.<br>2. Any line drawn parallel to the parallel sides of a trapezium divides the non-parallel sides proportionally.<br>Which of the above statements is/are correct?
- A. 1 only
- B. 2 only
- C. Both 1 and 2 ✓
- D. Neither 1 nor 2
Correct Answer: C. Both 1 and 2
Explanation
Statement 1 is a known property of trapeziums, derivable from the similar triangles formed by the intersecting diagonals and the parallel sides. Statement 2 is also a standard theorem for trapeziums (an extension of Thales's proportionality theorem). Both are correct.
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