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Proofs ( Coordinate and Two Columns)
- Thread starter Aukeena
- Start date
D
Deleted member 4993
Guest
First plot the points - and determine the sides of the quadrilateral (square) and calculate the equations of the sides.Use coordinate geometry to prove that quadrilateral Part with vertices P(-2,1) A( 1,4) R(4,1) T(1,-2) is a square. Explain how you will prove that the figure is a square.
Now calculate lengths of those sides - show that those are equal to each other.
Determine which two sides should be perpendicular to each other → by calculating the equations of those lines - show that those are perpendicular to each other.
Please share your work with us .
If you are stuck at the beginning tell us and we'll start with the definitions such as "condition of perpendicular lines"
You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:
[url]http://www.freemathhelp.com/forum/th...217#post322217[/URL]
Aukeena, as stated by Subhotosh Khan, please still do the the following:
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Please share your work with us .
You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:
http://www.freemathhelp.com/forum/th...217#post322217
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Aukeena, one of many more outlines of a method is this:
If, after you plot those four points, and you can tell by visual inspection what are supposed to
be the endpoints of the diagonals of the alleged square, then it is sufficient to show all three
of these combined conditions to prove the endpoints are that of a square:
1) Calculate the centers (co-ordinates) of the diagonals and show they are the same point.
2) Show that the squares of the lengths of the diagonals equal each other.
(You avoid square roots this way.)
3) Show that the diagonals are perpendicular to each other
------------------------------------------------------------------------------------
Please share your work with us .
You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:
http://www.freemathhelp.com/forum/th...217#post322217
----------------------------------------------------------------------------------------------------------------------
Aukeena, one of many more outlines of a method is this:
If, after you plot those four points, and you can tell by visual inspection what are supposed to
be the endpoints of the diagonals of the alleged square, then it is sufficient to show all three
of these combined conditions to prove the endpoints are that of a square:
1) Calculate the centers (co-ordinates) of the diagonals and show they are the same point.
2) Show that the squares of the lengths of the diagonals equal each other.
(You avoid square roots this way.)
3) Show that the diagonals are perpendicular to each other
Last edited: