CBSE /Class 9
Maths MCQ Based On Quadrilaterals mid point theorem
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CBSE Class 9 Maths Quadrilaterals mid point theorem
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Midpoint Theorem, which states that The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." EF is parallel to QR. So, EF is half of QR
Recall the conditions of a quadrilateral to be a parallelogram.
You can apply mid-point theorem here
Converse of mid point theorm. Mid point bisect the side in equl parts.Line joining the mid point is half of third side.
Use the midpoint theorem. First find the length of AF And AE. Than pply pythgorus theorem to find the third side of triangle.
Use the midpoint theorem. Its one-fourth of given triangle.
Apply Mid point theorem and Pythagoras Theorem .
Think how converse of mid point theorm can be proved. if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
Corresponding angles associated with parallel lines are equal
Recall the midpoint theorem. E, F, and D are mid points. Join DF. area of triangle DEF =area of triangle BDE=area of triangle DFC
Hence, area of DCFE= area of triangle DEF + area of triangle DCF
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