5. Mark points X, Y, Z and W such that no three of them are collinear. Draw
line segments by joining all the possible pairs o

1 thought on “5. Mark points X, Y, Z and W such that no three of them are collinear. Draw<br />line segments by joining all the possible pairs o”

1. Answer:

   1) Steps of construction:

   1. Draw line segment AB = 5.3 cm.

   2. With A as centre and radius more than half of AB, mark two arcs, one above and other below the line AB.

   3. With B as centre and same radius, draw two arcs cutting the previous drawn arcs and name the point of intersection as X and Y.

   4. Join XY and name the point where this line cuts AB as point P.

   XY is the perpendicular bisector of AB.

   Step-by-step explanation:

   2) 6.7 cm

   Steps of construction:

   1. Draw line segment CD = 6.7 cm.

   2. With C as centre and radius more than half of CD, mark two arcs, one above and other below the line CD.

   3. With D as centre and same radius, draw two arcs cutting the previous drawn arcs and name the point of intersection as A and B.

   4. Join AB and name the point where this line cuts CD as point Q.

   AB is the perpendicular bisector of CD.

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