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Q.

What is the statement of the Mid-point Theorem?

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a

The line segment joining the mid-points of any two sides of a triangle is equal to the third side.

b

 The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to it.

c

The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it.

d

The line segment joining the mid-points of any two sides of a triangle is twice the third side.

answer is C.

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Detailed Solution

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According to the Mid-Point Theorem, "The line segment in a triangle joining the mid-points of two sides of the triangle is parallel to its third side and also half the length of the third side."

For example in a triangle ABC, D and E are midpoints.

According to the midpoint theorem, DE || BC and BC = 2 x DE.

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