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

Solution:

We will be using the concept of midpoint to solve this.

We have been given that,

B is the midpoint of AC

⇒ AB = BC ----------------- (1)

C is the midpoint of BD

⇒ BC = CD --------------- (2)

Hence, we can say that AB = CD [From equation(1) and equation(2)]

You can also use the online Midpoint Calculator to solve this.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.1 Question 6

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

Summary:

If B is the mid-point of AC and C is the midpoint of BD, where A, B, C, D lie on a straight line, we can say that AB = CD since AB = BC and BC = CD.

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