If the points A(–2, –1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, taken in order, find the value of a and b.

Question

If the points A(–2, –1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, taken in order, find the value of a and b.

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Katherine 1 month 2021-08-18T16:00:23+00:00 1 Answer 0 views 0

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    2021-08-18T16:02:22+00:00

    AB = CD…… Equation 1

    (opp sides of parallelogram)

    Find the length of AB through distance formula

    A = (-2,-1) = (x1, y1)

    B = (a, 0) = (x2, y2)

    Distance formula = rt [(0-(-1))^2 + (a-(-2))^2 ]

    Hope you know that formula rt [(y2-y1) ^2 + (x2-x1) ^2]

    Rt (1+(a+2)^2)

    Rt (1+ a^2 + 4a + 4)

    Rt (a^2 + 4a + 5) units

    Similarly we will find the value of CD through distance formula

    and then equate it in the equation 1

    You will get your answer!

    Hope it helps!

    Plz mark me as brainliest!!

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