Question

Draw the perpendicular bisector of XY whose length is 10.3 cm.
(i) Take any point P on the bisector drawn. Examine whether PX=PY.
(ii) If M is the midpoint of XY, what can you say about the lengths MX and MY.

Answer 1

Hint: In this question it is given that we have to draw a perpendicular bisector of XY, where the length of XY IS 10.3 cm.
So to draw this we need a pencil compass, a scale and a pencil.

Complete step-by-step answer:
Steps of construction:
1) First we Draw a line segment XY of measure 10.3 cm.
2)Now from point X we draw an arc of any measure more than half of the line segment on both the sides of the line segment.
3)In a similar way with the same measure Draw arcs on both the sides of the line segment from point Y.
4) Now we join the points A and B where the arcs meet each other, and this will form a line AB which bisects the line segment XY.

(i) Now we take any point P on the bisector AB. And after that we join the points X,Y to p, so this will form PX and PY, now if we measure the length of PX and PY we observe that the length of PX is equal to the length of PY, i,e, PX=PY.

(ii) Here it is given that M is the midpoint of XY and since AB is the perpendicular bisector of XY, then we can say that MX is the half of XY and in a similar way we can say that My is the half of MY.

Note: While construction, try to avoid overwriting and also do not use too much eraser, this may lead you to minor errors.