P and Q are 2 distinct points in the interior of the square ABCD such that AP =Aq and angle BAP is congruent to angle DAQ.Show that APCQ is a KITE(Headbang)

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- Oct 1st 2009, 10:50 PManshulbshahKite....
P and Q are 2 distinct points in the interior of the square ABCD such that AP =Aq and angle BAP is congruent to angle DAQ.Show that APCQ is a KITE(Headbang)

- Oct 1st 2009, 11:10 PMMatt Westwood
To show it's a kite, you need to show that AP = AQ and PC = QC.

That's because a kite has two pairs of adjacent sides that are the same.

You already have that AP = AQ, all you need to do then is show PC = QC, which can be done with straightforward geometry. Draw it and you'll find the figure you have is mirror-symmetrical in the diagonal AC. - Oct 1st 2009, 11:14 PManshulbshah
- Oct 1st 2009, 11:16 PMMatt Westwood