Question

Draw a line segment of a given length. Divide it into four equal parts . ​

Answer 1

$\small\mathcal\pink{let's\:consider\:the\: length\: of\:the\:line\: segment}$$\small\mathcal\pink{as\:10cm}$

$\small\mathcal\red{Step1:\:Draw\:a\:line\: segment\:AB=10cm}$

$\small\mathcal\red{Step2:\:Draw\:the\: perpendicular\: bisector\:XY\:of\:AB}$$\small\mathcal\red{which\:cuts\:AB\:at\:P.}$

$\small\mathcal\red{Step3:\:Draw\:a\: perpendicular\: bisector\:of\:AP\:, which}$$\small\mathcal\red{cut\:AP\:at\:R.}$

$\small\mathcal\red{Step4:\:Draw\:the\: perpendicular\: bisector\:of\:PB\: which}$$\small\mathcal\red{cut\:PB\:at\:Q}$

$\small\mathcal\purple{Measure\:the\:length\:of\:AR,\:RP,\:PQ,\: and}$$\small\mathcal\purple{QB.}$

$\small\mathcal\purple{Each\:is\:of\: length\:2.5cm}$