Question

In the given figure, if $p,q,r,s$ and $t$ are lines, then the total number of line segments are

• A. 21
• B. 27
• C. 32
• D. 31

Answer 1

The correct option is D 31

A line segment is a portion of a line. It has two endpoints.


Now, in line $p$, these are 6 line segments namely, AK, AL, AB, KL, KB and LB.
Similarly, in line $q$, there are 6 line segments namely, EK, EM, EF, KM, KF and MF.
In line $r$, there are 6 line segments namely, CK, CN, CD, KN, KD and ND.
In line $s$, there are 10 line segments namely, JL, JM, JN, JI, LM, LN, MN, MI and NI.
In line $t$, there are 3 line segments namely, HK, HG and KG.
Therefore, the total number of line segments is 6 + 6 + 6 +10 + 3 = 31.
Hence, the correct answer is option (d).