Maths-

General

Easy

Question

# The midpoint of 𝐶𝐷 is M (-4, 2). One endpoint is C (3, 5). Find the coordinates of endpoint D.

Hint:

### Midpoint divides the line segment in two equal parts.

○ If Line has two endpoints (x1, y1) and (x2, y2) then midpoint of line segment will be

## The correct answer is: (-11, -1)

- Step by step explanation:

○ Given:

The midpoint of the line is M (-4, 2).

one endpoint is C( 3, 5).

○ Step 1:

○ Let the endpoint D be (x_{2}, y_{2})

○ As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by

So,

Coordinates of Midpoint of M be:

( 3 + x_{2 }) = -4 2 , ( 5 + y_{2 }) = 2 2

3 + x_{2 }= -8, 5 + y_{2} = 4

x_{2 }= -8 - 3, y_{2} = 4 - 5

x_{2 }= -11 , y_{2} = - 1

(x_{2}, y_{2}) _{ }= (-11, -1)

- Final Answer:

Hence, the coordinates of the endpoint D is (-11, -1).

_{2 }) = -4 2 , ( 5 + y

_{2 }) = 2 2

_{2 }= -8, 5 + y

_{2}= 4

_{2 }= -8 - 3, y

_{2}= 4 - 5

_{2 }= -11 , y

_{2}= - 1

_{2}, y

_{2})

_{ }= (-11, -1)

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