Q3 of 29 Page 7

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

Since P is the midpoint of seg CD.

Therefore seg CP ≅ seg PD, i.e. seg CP = seg PD ……….(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 CD = seg CP + seg PD


⇒ seg CD = 2 seg CP [Using (i)]


⇒ seg CD = 2 × 2.5 = 5


So, seg CD = 5


More from this chapter

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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

 2

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

 4

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

 5

Write the answers to the following questions with reference to figure 1.13.


i. Write the name of the opposite ray of ray RP.


ii. Write the intersection set of ray PQ and ray RP.


iii. Write the union set of ray PQ and ray QR.


iv. State the rays of which seg QR is a subset.


v. Write the pair of opposite rays with common end point R.


vi. Write any two rays with common end point S.


vii. Write the intersection set of ray SP and ray ST.