Verifying Quadrilateral Properties

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To verify if the quadrilateral with vertices K(-1,4), L(2,2), M(0,-1), and N(-3,1) is a square, one must check if it has four congruent sides and at least one right angle. Additionally, the diagonals should be perpendicular bisectors of each other and equal in length. The discussion emphasizes using the distance formula to determine side lengths and slopes to check for right angles. Plotting the points on graph paper is recommended for better visualization of the shape. Understanding the properties of squares and applying them to the given vertices is crucial for verification.
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Please, I really need this answer by today (before 12 hrs from now), for my take-home-quiz..
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A quadrilateral has vertices K(-1,4) L(2,2) M(0,-1) and N(-3,1). Verify that:

a) a quadrilateral is a square





b) each diagonal of the quadrilateral is the perpendicular bisector of the other diagonal





c) the diagonals of the quadrilateral are equal in length
 
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sorry, take home quizzes are to test your knowledge not ours.
 
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I cannot understand the question, please help me... -- forget i said it was take-home-quiz, its actually my homework.. please just help..
 
Did you plot the given points? Are they a square? What do you know of the properties of a square that you could apply to this?

Look at the definition of a perpendicular bisector, can you apply it to the diagonals of your quadrilateral?

Tell us something of what you know about a quadrilateral and a square.
 
Try plotting the points on a graph paper, it will help you vizualize

Now here are some hints:
Square as 4 congruent sides
Square has at least 1 right angle


look up the distance formula in ur textbook and how to find slope, and how slopes are in right angles
 

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