# Homework Help: Grade 10 - Algebra Question

1. Oct 4, 2005

### tamilan

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

2. Oct 4, 2005

### Ouabache

sorry, take home quizzes are to test your knowledge not ours.

3. Oct 4, 2005

4. Oct 4, 2005

### Integral

Staff Emeritus
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. Oct 5, 2005

### Hitokiri

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