Maths-
General
Easy

Question

Find the coordinates of T.

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 fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction.

The correct answer is: (-4, 4).


    • Step by step explanation:
    ○        Given:
    The midpoint of the line is S (1, 6).
    one endpoint is R ( 6, 8 ).
    ○        Step 1:
    ○        Let the endpoint T be (x2, y2)
    ○        As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses over denominator 2 end fraction comma fraction numerator open parentheses y subscript 1 plus y subscript 2 close parentheses over denominator 2 end fraction
    So,
    Coordinates of Midpoint of  M be:

    not stretchy rightwards double arrow space of 1em fraction numerator open parentheses 6 plus x subscript 2 close parentheses over denominator 2 end fraction equals 1 comma fraction numerator open parentheses 8 plus y subscript 2 close parentheses over denominator 2 end fraction equals 6

    rightwards double arrow( 6 + x2 ) = 1  2 ,  rightwards double arrow( 8 + y2 ) = 6  2

    rightwards double arrow6 + x2 = 2,rightwards double arrow 8 + y2 = 12

    rightwards double arrowx2 = 2 - 6, rightwards double arrowy2 = 12 - 8

    rightwards double arrowx2 = -4 , rightwards double arrow y2 = 4

    rightwards double arrow(x2, y2)  = (-4, 4)

    • Final Answer:
    Hence, the coordinates of the endpoint T is (-4, 4).

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