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If B is the midpoint of ACAC¯ and C is the midpoint of BDBD¯, where A, B, C, and D lie on a straight line, say why AB = CD? - Mathematics

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Question

If B is the midpoint of `overline"AC"` and C is the midpoint of `overline"BD"`, where A, B, C, and D lie on a straight line, say why AB = CD?

Sum

Solution

Since B is the mid-point of AC,

AB = BC .....(1)

Since C is the mid-point of BD,

BC = CD ....(2)

From equations (1) and (2), we may find that

AB = CD

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Chapter 5: Understanding Elementary Shapes - Exercise 5.1 [Page 89]

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NCERT Mathematics [English] Class 6
Chapter 5 Understanding Elementary Shapes
Exercise 5.1 | Q 6. | Page 89
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