Draw the perpendicular bisector of $X Y$ , whose length is $10.3$ cm

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Solution

Steps of construction -
Step I - Draw a line segment, $X Y = 10.3 cm$ by using a graduated ruler.
Step II - With X as center and radius more than half of XY, draw arcs on each side of XY.
Step III - With Y as a center and the same radius as in step II, draw arcs cutting the arcs drawn in step II at A and B respectively.
Step IV - Draw the line segment with A and B as endpoints. Suppose it meets XY at D. Then, D bisects the line segment XY.

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Question 3 (a)

Draw the perpendicular bisector of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.

Draw the perpendicular bisector of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ whose length is $10.3 c m$

If $M$ is the mid-point of $¯ ¯¯¯¯¯¯¯ ¯ X Y$ , what can you say about the lengths $M X$ and $X Y$ ?

Draw the perpendicular bisector ofwhose length is 10.3 cm.

(a) Take any point P on the bisector drawn. Examine whether PX = PY.

(b) If M is the mid point of, what can you say about the lengths MX and XY?

- X Y

- X Y

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