Take a thick white sheet.
Fold the paper once.
Draw two line segments of different lengths as shown in the figure.
Cut along the line segments and open up.
You have the shape of a kite.
Has the kite any line symmetry ?

Fold both the diagonals of the kite. Use the set-square to check if they cut at right angles.
Are the diagonals equal in length ?
Verify (by paper-folding or measurement) if the diagonals bisect each other.

By folding an angle of the kite. on its opposite check for angles of equal measure. Observe the diagonal folds, do they indicate any diagonal being an angle bisector ?
Share your findings with others and list them. A summary of these results are given elsewhere in the chapter for your reference.

Answer

The diagonal AC bisects `angle A and angle C`.