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Standard IX

Mathematics

RHS

ABC is a tria...

Question

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB is parallel to BC and intersects AC at D. Then, AD = DC.

True

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False

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Solution

The correct option is A True
Since, MD || BC and M is the mid-point of AB.
Therefore, by mid-point theorem we can establish that AD = DC.

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ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB is parallel to BC and intersects AC at D. Then, AD = DC.

The correct option is A TrueSince, MD || BC and M is the mid-point of AB. Therefore, by mid-point theorem we can establish that AD = DC.

The correct option is A True
Since, MD || BC and M is the mid-point of AB.
Therefore, by mid-point theorem we can establish that AD = DC.