Draw the perpendicular bisector of the wooden log shown below.

a. Take any point P on the bisector drawn. Examine whether PX = PY.
b. If M is the midpoint of XY, what can you say about the lengths MX and XY? (Take 1 ft = 1 cm)

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Solution

Draw a line segment XY of length 10.4 cm as 1ft = 1cm

Now, draw a perpendicular bisector of line segment XY following the construction steps.

Mark any point P on the perpendicular bisector.

Measure PX and PY, it should be equal. (Say: Any point on the perpendicular bisector will be equidistant from the endpoints of the line segment)

Marks point M that is the midpoint of XY, and the length of MX will be half of the length of XY

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