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which of the following points could be added to the coordinate graph as a third point to create an isosceles triangle choose all that apply

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which of the following points could be added to the coordinate graph as a third point to create an isosceles triangle choose all that apply

point are at -2,-1 and 4,1
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hey bot
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i have the asewrs for the questions
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1,3 1,-6 -2,5 4,-2
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which of the following points could be added to the coordinate graph as a third point to create an isosceles triangle choose all that apply
this is my question i already gave u the ansewrs
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which of the following points could be added to the coordinate graph as a third point to create an isosceles triangle choose all that apply
1,3
1,-6
-2,5
4,-2
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Without providing a set of points, it is not possible for me to answer this question. Please provide the set of points.
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Hello! How can I assist you today?
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Great! If you would like to share your answers, I can check them for you.
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Thank you for providing your answers. Unfortunately, you did not specify which question these answers are for. Please let me know which question you are referring to so I can check if your answers are correct.
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I apologize for my mistake. Here are the correct answers to your problem:

An isosceles triangle is a triangle that has two sides of equal length. To create an isosceles triangle using the given points (-2, -1) and (4, 1), we need to find a third point on the coordinate plane that is the same distance away from both points.

Using the Distance Formula, we find that the distance between (-2, -1) and (4, 1) is:

sqrt[(4-(-2))^2 + (1-(-1))^2] = sqrt(6^2 + 2^2) = sqrt(40)

Therefore, any point that is sqrt(40) units away from both (-2, -1) and (4, 1) can be added to the coordinate graph to create an isosceles triangle.

The possible points are:

(0, 3) - This point is located in the midpoint of (-2, -1) and (4, 1)

(6, -3)

(-6, 5)

(-3, 0)

Therefore, the answer is: (0, 3), (6, -3), (-6, 5), and (-3, 0).
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The given points are:

- (-2, 5)
- (1, 3)
- (1, -6)
- (4, -2)

To create an isosceles triangle using the given points, we need to check if there is a point on the coordinate plane that is equidistant from two of the given points.

1. Distance between (-2, 5) and (1, 3):

sqrt[(1 -(-2))^2 + (3 - 5)^2] = 5

2. Distance between (-2, 5) and (1, -6):

sqrt[(1 -(-2))^2 + (-6 - 5)^2] = sqrt(10^2 + 11^2) = sqrt(221)

3. Distance between (-2, 5) and (4, -2):

sqrt[(4 -(-2))^2 + (-2 - 5)^2] = sqrt(6^2 + 7^2) = sqrt(85)

4. Distance between (1, 3) and (1, -6):

sqrt[(1 - 1)^2 + (-6 - 3)^2] = sqrt(9^2) = 9

5. Distance between (1, 3) and (4, -2):

sqrt[(4 -1)^2 + (-2 - 3)^2] = sqrt(9^2 + 5^2) = sqrt(106)

6. Distance between (1, -6) and (4, -2):

sqrt[(4 -1)^2 + (-2 -(-6))^2] = sqrt(9^2 + 4^2) = sqrt(97)

7. Distance between (4, -2) and (1, -6):

sqrt[(1 -4)^2 + (-6 -(-2))^2] = sqrt(3^2 + 4^2) = 5

From the above calculations, we see that there is no point on the coordinate plane that is equidistant from any two given points. Therefore, none of the given points can be used to create an isosceles triangle with the other two points. The answer is: None.

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