Objective:To investigate and deduce the properties of the perpendicular bisector of a line segment.

Questions:(a) What do you notice about the symmetry involving the perpendicular bisector? (b) What can you deduce about △APM and △BPM? (c) Hence what can you say about the lengths AP and BP? Give reasons to support your answer.

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Step 6:  Fold along the line AP and then unfold paper into half.

Step 5:  Fold the line segment AB into half.

Step 4:  Fold the paper along the line segment AB. 

Step 3:  Mark a point on the perpendicular bisector and label it as P.One example is shown in the diagram.

Step 2:  Construct the perpendicular bisector of AB. Label the point of intersection of AB and the perpendicular bisector as AB.

Step 1:  On a sheet of paper, draw a line segment AB.