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Converse of Mid Point Theorem | Hindi | Maths
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The Converse of MidPoint Theorem
The line drawn through the mid–point of one side of a triangle and parallel to another side bisects the third side.
Equal Intercept Theorem
The theorem states if a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. It means that given any three mutually perpendicular lines, a line passing through them forms intercepts in the corresponding ratio of the distances between the lines.
For example, Suppose there are three lines, l, m and n. Keep the distance between l–m twice than the distance between m–n. So any line passing through them, the intercept made by l-m on the line is twice the intercept made by m-n.
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The line drawn through the mid–point of one side of a triangle and parallel to another side bisects the third side.
Equal Intercept Theorem
The theorem states if a transversal makes equal intercepts on three or more parallel lines, then any other line cutting them will also make equal intercepts. It means that given any three mutually perpendicular lines, a line passing through them forms intercepts in the corresponding ratio of the distances between the lines.
For example, Suppose there are three lines, l, m and n. Keep the distance between l–m twice than the distance between m–n. So any line passing through them, the intercept made by l-m on the line is twice the intercept made by m-n.
Subscribe to our channel to watch free online lectures
For more videos, online classes, 24X7 Doubts solving and Mock tests, Visit Toppr - The better learning app.
#BetterLearning on the Toppr app, download now
Download Doubts on Chat App:
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