question_answer

Count the number of line segments in the following figure:-

A) 17                   

B)          16

C) 18                   

D)          19

Correct Answer: C

Solution :

    If we name all the end-points in the fig & then dissect the figure we will get 18 line segments e.g \[\overset{\_\_\_\_}{\mathop{\text{AB}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{BC}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{CD}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{DE}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{EF}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{FG}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{GH}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{HI}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{IJ}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{JK}}}\,\],\[\overset{\_\_\_\_}{\mathop{\text{KL}}}\,\],\[\overset{\_\_\_\_\_\_}{\mathop{\text{LM}}}\,\],\[\overset{\_\_\_\_\_\_}{\mathop{\text{MN}}}\,\],\[\overset{\_\_\_\_\_\_}{\mathop{\text{MN}}}\,\],\[\overset{\_\_\_\_\_\_}{\mathop{\text{NO}}}\,\],\[\overset{\_\_\_\_\_}{\mathop{\text{OP}}}\,\],\[\overset{\_\_\_\_\_}{\mathop{\text{PQ}}}\,\],\[\overset{\_\_\_\_\_}{\mathop{\text{QR}}}\,\]and \[\overset{\_\_\_\_\_}{\mathop{\text{RS}}}\,\].