Draw a line segment P Q of length 6 . 3 cm . Take a point R on P Q ¯ such that P R ¯ = 2 cm . Draw R S ¯ ⊥ P Q ¯ .

Steps of constructions: Draw a line segment P Q of length 6 . 3 cm . Mark a point R on P Q such that PR = 2 cm . From point R draw a semicircle on P Q which intersects at X and Y . From X draw an arc with the same radius on semicircle and mark the point as A . From point A draw another arc on the semicircle and mark it as B . Now from points A and B draw two arcs which intersect at point. Mark the point as S and join R S . Thus R S ¯ ⊥ P Q ¯ .

Draw A B ¯ having length 6 cm and construct its perpendicular bisector P Q ¯ cutting A B ¯ at point M . Measure A M ¯

A line segment is part of a line. It has two end points and its length is fixed. Steps for drawing a line segment using a ruler: 1 . Place the ruler on a paper and hold it firmly. 2 . Mark with pencil two points A & B on paper against the 0 mark and 6 cm mark of the ruler. 3 . Join points A & B by moving the pencil along the ruler. A B is the required line segment of length 6 cm. Steps for drawing perpendicular bisector of a line segment. 1 . With A as centre and radius more than 1 2 A B , draw arcs above and below A B using compass. 2 . With B as centre and same radius as in step 1 , draw arcs cutting the previous arcs at P & Q . 3 . Join points P & Q . Line segment P Q that bisects A B at M is the required perpendicular at bisector of A B . P Q divides the line segment A B is 2 halves. ∴ A M = 1 2 A B = 1 2 × 6 = 3 cm.

Draw A B ¯ having length 6 cm and construct its perpendicular bisector P Q ¯ cutting A B ¯ at point M . Measure M B ¯

A line segment is part of a line. It has two end points and its length is fixed. Steps for drawing a line segment using a ruler: 1 . Place the ruler on a paper and hold it firmly. 2 . Mark with pencil two points A & B on paper against the 0 mark and 6 cm mark of the ruler. 3 . Join points A & B by moving the pencil along the ruler. A B is the required line segment of length 6 cm. Steps for drawing perpendicular bisector of a line segment. 1 . With A as centre and radius more than 1 2 A B , draw arcs above and below A B using compass. 2 . With B as centre and same radius as in step 1 , draw arcs cutting the previous arcs at P & Q . 3 . Join points P & Q . Line segment P Q that bisects A B at M is the required perpendicular at bisector of A B . P Q divides the line segment A B is 2 halves. ∴ M B = 1 2 A B = 1 2 × 6 = 3 cm.

Draw A B ¯ having length 6 cm and construct its perpendicular bisector P Q ¯ cutting A B ¯ at point M . Measure ∠ A M P

A line segment is part of a line. It has two end points and its length is fixed. Steps for drawing a line segment using a ruler: 1 . Place the ruler on a paper and hold it firmly. 2 . Mark with pencil two points A & B on paper against the 0 mark and 6 cm mark of the ruler. 3 . Join points A & B by moving the pencil along the ruler. A B is the required line segment of length 6 cm. Steps for drawing perpendicular bisector of a line segment. 1 . With A as centre and radius more than 1 2 A B , draw arcs above and below A B using compass. 2 . With B as centre and same radius as in step 1 , draw arcs cutting the previous arcs at P & Q . 3 . Join points P & Q . Line segment P Q that bisects A B at M is the required perpendicular at bisector of A B . Since P Q is perpendicular bisector of A B , ∴ ∠ A M P = 90 ∘ cm.