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Question

In the given figure, E is the midpoint of side AC and D is the midpoint of side AB, then

S1 : DE = 12BC and DE || BC

S2 : Midpoint theorem : A line segment joining midpoints of 2 sides of a triangle is parallel to the third side and is half of it.


A

S1 is true and S2 is false.

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B

S1 is false and S2 is true.

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C

S1 and S2 are both true.

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D

S1 and S2 are both false.

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Solution

The correct option is C

S1 and S2 are both true.


The mid point theorem states that a line segment joining mid points of two sides of a triangle is parallel to the third side and is half of it.
In other words, in ABC,
DE = 12BC and DE || BC.

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