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Y is the midpoint of XZ. X has coordinates (2,4), and Y has coordinates (-1,1). Find the coordinates of Z.

Sagot :

The x coordinate of Z is -4. The y coordinate of Z is -2. I

Y is the midpoint of XZ. X has coordinates (2,4) Y has coordinates (-1,1)

Z will have coordinate (-4,-2).

What is midpoint of a line segment ?

The midpoint of a line segment can be obtained by adding the coordinates of the two endpoints of a line segment.

(x₁ ₊ x₂)/2 and (z₁ + z₂)/2

In the given question midpoint is given which is equidistant from both the endpoints from this logic and the data given in the question we observe than the first endpoint and the midpoint has a distance of 3 units on the left so from the midpoint Z will also have the same. This way Z will have coordinates (-4,-2).

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