Q2 of 29 Page 7

Point M is the midpoint of seg AB. If AB = 8 then find the length of AM.

Since M is the midpoint of seg AB.

Therefore seg AM ≅ seg MB, i.e. seg AM = seg MB ……….(i)


Also, we know that


For any three distinct collinear points P, Q and R, the point Q is said to be in between P and R if


d (P, Q) + d (Q, R) = d (P, R), or


l (PQ) + l (QR) = l (PR)


So, seg AB = seg AM + seg MB


⇒ seg AB = 2 seg AM [Using (i)]



So, seg AM = 4


More from this chapter

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7

Which figure is formed by three non-collinear points?

 1

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.


i. seg DE and seg AB


ii. seg BC and seg AD


iii. seg BE and seg AD

 3

Point P is the midpoint of seg CD. If CP = 2.5, find l(CD).

 4

If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.