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Draw the perpendicular bisector of XY whose 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 XY what can you say about the length MX and XY?
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Perpendicular Bisector of XY

To draw the perpendicular bisector of XY, follow these steps:

1. Draw line segment XY with the desired length of 10.3 cm.
2. Find the midpoint of line segment XY and mark it as point M.

Perpendicular Bisector Properties

The perpendicular bisector of a line segment has several key properties:

1. It passes through the midpoint of the line segment.
2. It is perpendicular to the line segment.
3. It divides the line segment into two congruent parts.

Examine PX = PY

To examine whether PX is equal to PY for any point P on the bisector, follow these steps:

1. Draw a line segment from point P to X and another line segment from point P to Y.
2. Measure the lengths of PX and PY using a ruler.
3. Compare the lengths of PX and PY.

If the perpendicular bisector is drawn accurately, PX should be equal to PY for any point P on the bisector. This is because the bisector divides XY into two congruent parts, so the distances from P to X and P to Y should be equal.

Length of MX and XY

Since M is the midpoint of XY, we can make the following observations about the lengths of MX and XY:

1. MX is half the length of XY.
2. If XY has a length of 10.3 cm, then MX would have a length of 5.15 cm.

This is because the midpoint of a line segment divides it into two congruent parts. In this case, MX is half the length of XY, resulting in MX being half of 10.3 cm, which is 5.15 cm.

Therefore, the length of MX is half the length of XY, and if XY has a length of 10.3 cm, MX would be 5.15 cm.
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Draw the perpendicular bisector of XY whose 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 XY what can you say about the length MX and XY?
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