Verifying Quadrilateral Properties

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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
 

FAQ: 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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