Maths-

General

Easy

Question

# The midpoint of 𝑋𝑌 is M (8, 10). One endpoint is Y (1, 2). Find the coordinates of endpoint Y.

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: (15, 18).

- Step by step explanation:

○ Given:

The midpoint of the line is M (8, 10).

one endpoint is Y( 1, 2 ).

○ Step 1:

○ Let the endpoint X 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:

( 1 + x_{2 }) = 8 2 , ( 2 + y_{2 }) = 10 2

1 + x_{2 }= 16, 2 + y_{2} = 20

x_{2 }= 16 - 1, y_{2} = 20 - 2

x_{2 }= 15 , y_{2} = 18

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

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

(x_{2}, y_{2}) _{ }= (15, 18)

- Final Answer:

Hence, the coordinates of the endpoint X is (15, 18).

_{2 }) = 8 2 , ( 2 + y

_{2 }) = 10 2

_{2 }= 16, 2 + y

_{2}= 20

_{2 }= 16 - 1, y

_{2}= 20 - 2

_{2 }= 15 , y

_{2}= 18

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

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

_{2}, y

_{2})

_{ }= (15, 18)

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