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Question

# Statement 1: In the figure areas of both parallelogram ABCD and the triangle ABE are equal. Statement 2: Both the triangle and parallelogram have same base and height. Pick the correct option

A

Both the statements are true and Statement 2 is explanation of Statement 1

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B

Both the statements are true and Statement 2 is not the explanation of Statement 1

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C

Statement 1 is true and Statement 2 is false

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D

Statement 1 is false and Statement 2 is true

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Solution

## The correct option is D Statement 1 is false and Statement 2 is true Area of a triangle with the same base and height as a parallelogram is half the area of the parallelogram. So, statement 1 is false But statement 2 is true. This is because they both have same base and lie between the same parallel lines.

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