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19 March, 05:26

Given that ΔABC and ΔA'B'C' are similar right triangles that share the same slope, m, on the coordinate plane. Find the equation in the form y = mx that represents the line of the hypotenuses if ΔABC has a base defined by the coordinates of A = (3, 2) and B = (6, 2), and ΔA'B'C' has a height defined by the coordinates of B' = (9, 2) and C' = (9, 6).

A) y = 2x

B) y = 3x

C) y = 1/3x

D) y = 2/3x

+4
Answers (2)
  1. 19 March, 08:23
    0
    Answer:D) y = 2/3x

    Step-by-step explanation: Sketching the triangles shows that ΔABC has a coordinate of C = (6, 4)

    m =

    change in y

    change in x

    =

    4 - 2

    6 - 3

    =

    2

    3

    therefore, y =

    2

    3

    x
  2. 19 March, 09:02
    0
    The answer is d
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