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Tanzania [10]
2 years ago
12

The midpoint of CD is E (-1,0). One endpoint is C (5,2). What are the coordinates of the other endpoint?

Mathematics
2 answers:
qaws [65]2 years ago
7 0

Answer:  The required co-ordinates of the endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint of CD is E (-1,0) and one endpoint is C (5,2).

We are to find the co-ordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the endpoint D.

We know that

the co-ordinates of the midpoint of a line segment withe endpoints (a, b) and (c, d) is given by

\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).

Therefore, according to the given information, we have

\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7

and

\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.

Thus, the required co-ordinates of the endpoint D are (-7, -2).

Kryger [21]2 years ago
5 0
<h2>Answer</h2>

The answer is (2, 1)

<h2>Explanation</h2>

We can solve this by using midpoint formula

M = (x_{1} + x_2)/2, (y_1 + y_2} ) /2

because in a plane the coordinates of midpoint of a line is the average of each other coordinates.

So,

x_1 = -1, x_2 = 5

y_1 = 0. y_2 = 2

Putting values in formula as

M = (-1+5) / 2, (0+2) / 2

M = (2, 1)


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