Verifying Quadrilateral Properties

  • Thread starter tamilan
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In summary, the conversation discusses how to verify if a given quadrilateral with vertices K(-1,4), L(2,2), M(0,-1), and N(-3,1) is a square. The conversation mentions the properties of a square, such as having 4 congruent sides and at least 1 right angle, and how to apply them to the given points. It also suggests plotting the points on a graph and using the distance formula and slope to determine if the diagonals are perpendicular bisectors of each other.
  • #1
tamilan
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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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  • #2
sorry, take home quizzes are to test your knowledge not ours.
 
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Likes chwala
  • #3
I cannot understand the question, please help me... -- forget i said it was take-home-quiz, its actually my homework.. please just help..
 
  • #4
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.
 
  • #5
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
 

Related to Verifying Quadrilateral Properties

1. What is the definition of a quadrilateral?

A quadrilateral is a polygon with four sides and four angles.

2. How do you verify that a quadrilateral is a parallelogram?

A quadrilateral is a parallelogram if both pairs of opposite sides are parallel.

3. What is the method for proving that a quadrilateral is a rectangle?

A quadrilateral is a rectangle if it has four right angles.

4. What does it mean for a quadrilateral to be a rhombus?

A quadrilateral is a rhombus if all four sides are equal in length.

5. Can a quadrilateral be both a rectangle and a rhombus?

Yes, a quadrilateral can be both a rectangle and a rhombus if it has four equal sides and four right angles.

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