What type of parallelogram is created with the given points (0,3) (3,0)(0,-3)(-3,0) explain
1 answer:
Answer:
Square
Step-by-step explanation:
Take a look at the attachment below. We need to apply the distance formula to derive the distance between points (0, 3), (3, 0), (0, - 3), (-3, 0). We can right away note that the sides of the quadrilateral created from these points are congruent. How so?
Again, taking a look at the attachment, you will see that this quadrilateral is named. Take side AB as an example. It forms a right triangle with the x and y - intercepts, the legs of lengths 3 and 3 units. AB is the hypotenuse. Respectively sides BC, CD, and AD each are the hypotenuse of their own mini triangle with legs of 3 units each! From this we can conclude that, by Pythagorean Theorem, AB = √18 = BC = CD = AD.
All sides are congruent, so the shape must be a square!
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