Maths-
General
Easy

Question

Find the coordinates of the midpoint of 𝐶𝐷.

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: (7.5, 8.5).


    • Step by step explanation:
    ○        Given:
    The endpoints of the pencil are A (3, 4) R  (12, 13 ).
    M is the midpoint of the pencil.
    ○        Step 1:
    ○        Find endpoints of the line.
    ○        From the figure it is clear that end points of line are
    (3, 4) and (12, 13)
    ○        Step 1:
    ○        Let the coordinates of midpoint be (x, y).
    ○        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:
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow fraction numerator left parenthesis 3 plus 12 right parenthesis over denominator 2 end fraction equals straight x comma fraction numerator left parenthesis 4 plus 13 right parenthesis over denominator 2 end fraction equals straight y end cell row cell not stretchy rightwards double arrow 15 over 2 equals straight x comma 17 over 2 equals straight y end cell end table
    rightwards double arrow7.5  = x, 8.5 = y
    rightwards double arrow(x, y)  = (7.5, 8.5)
    • Final Answer:
    Hence, the coordinates of the midpoint of CD is (7.5, 8.5).

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