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Read the given statements carefully and ...

Read the given statements carefully and select the correct option.
Statement I : In a parallelogram, diagonals bisect each other.
Statement 2 : Diagonals divide the parallelogram into two triangles.

A

Only Statement 1 is true.

B

Only Statement 2 is true.

C

Both Statement 1 and Statement 2 are true

D

Both Statement I and Statement 2 are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the two statements about parallelograms and determine their validity. **Step 1: Understand Statement I** - Statement I states that "In a parallelogram, diagonals bisect each other." - This is a known property of parallelograms. When you draw a parallelogram and its diagonals, they intersect at a point that divides each diagonal into two equal parts. **Step 2: Understand Statement II** - Statement II states that "Diagonals divide the parallelogram into two triangles." - When you draw the diagonals of a parallelogram, they create two triangles on either side of the diagonal. This is also true for any quadrilateral, but specifically for parallelograms, this property holds as well. **Step 3: Conclusion** - Both statements are true. Therefore, the correct option would be that both statements are correct. ### Final Answer: Both Statement I and Statement II are correct. ---
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