Line segment AB is divided into 5 equal parts at P, Q, R, S. If P is (2,3) & R(5, 7). Find A and Q

Question

Line segment AB is divided into 5 equal parts at P, Q, R, S. If P is (2,3) &
R(5, 7). Find A and Q

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Eva 2 weeks 2021-09-14T01:21:25+00:00 1 Answer 0 views 0

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    2021-09-14T01:23:11+00:00

    Answer:

    (2,3). (5,7)

    A–-–––—–*—————*—————*————-*————–B

    P. Q. R. S

    Q = (2+5)/2,(7+3)/2

    = (7/2,5. ) ( Q is the mid point of P and Q so by using mid point formula)

    Let the points of A are (x,y)

    Now P is the mid point of A and Q

    therefore (X+7/2)/2= 2

    X = 4-7/2

    X = 1/2

    again

    (Y+5)/2 = 3

    Y+5 = 6

    y=1

    So point A is (1/2,1)

    and point Q is (7/2,5)

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