Take a thick white sheet.
Fold the paper once.
Draw two line segments of different lengths as shown in Fig 3.12.
Cut along the line segments and open up.
You have the shape of a kite (Fig 3.13).
Has the kite any line symmetry?                                           

Show that
\Delta ABC and
\Delta ADC are
congruent.
What do we
infer from
this?

                                    

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.

Answers (1)

Kite has symmetry along AC diagonal.\triangleABC\triangle ABC and \triangle ACD are congruent and equal triangles.

Diagonals AC and BD are of different lengths.

Diagonals bisect each other. 

The two diagonals AC and BD bisect \angle A,\angle B,\angle C,\angle D.

 

 

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