# Kite....

• Oct 1st 2009, 09:50 PM
anshulbshah
Kite....
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, 10:10 PM
Matt Westwood
Quote:

Originally Posted by anshulbshah
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)

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, 10:14 PM
anshulbshah
Quote:

Originally Posted by Matt 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.

Thank you Matt Westwood,But could please tell me the method to write....
Anshul
• Oct 1st 2009, 10:16 PM
Matt Westwood
Quote:

Originally Posted by anshulbshah
Thank you Matt Westwood,But could please tell me the method to write....
Anshul

Not sure I can do that. I don't know how you've been taught to present your work.