Maths-
General
Easy

Question

Find the coordinates of E.

hintHint:

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: (3, 5).


    • Step by step explanation:
    ○        Given:
    End points of the line are D (-5, -6) and F (11, 16).
    E is the midpoint of DF.
    ○        Step 1:
    ○        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,
    Midpoint of DF E is given by:

    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 negative 5 plus 11 right parenthesis over denominator 2 end fraction comma fraction numerator left parenthesis negative 6 plus 16 right parenthesis over denominator 2 end fraction end cell row cell not stretchy rightwards double arrow 6 over 2 comma 10 over 2 end cell end table

    rightwards double arrow3 , 5

    rightwards double arrow(3, 5)

    • Final Answer:
    Hence, the coordinates of the midpoint of PQ is E (3, 5).

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