On a coordinate plane, parallelogram R S T U is shown. Point R is at (1, 1), point S is at (7, 0), point T is at (10, 4), and point U is at

Question

On a coordinate plane, parallelogram R S T U is shown. Point R is at (1, 1), point S is at (7, 0), point T is at (10, 4), and point U is at (4, 5).
If line segment RU is considered the base of parallelogram RSTU, what is the corresponding height of the parallelogram?

4.5 units
5.4 units
9.0 units
10.8 units

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Khoii Minh 5 months 2021-08-24T23:31:29+00:00 2 Answers 8 views 0

Answers ( )

    0
    2021-08-24T23:32:39+00:00

    Answer:

    B,5.4 units.

    Step-by-step explanation:

    Parallelogram RSTU

    R(1,1),S(7,0),T(10,4),U(4,5)

    slope of RU m=(5-1)/(4-1)=4/3

    slope of RS=(0-1)/(7-1)=-1/6=-1/6

    slope of ST=(4-0)/(10-7)=4/3

    slope of  TU=(5-4)/(4-10)=1/(-6)=-1/6

    RU||ST

    eq. of line RU is

    y-y1=m(x-x1)

    y-1=4/3(x-1)

    3y-3=4x-4

    4x-3y-4+3=0

    4x-3y-1=0

    perpendicular distance of a point (x1,y1) from line ax+by+c=0 is

    d=\frac{ax1+by1+c}{\sqrt{a^2+b^2} } \\

    perpendicular distance of (7,0) from 4x-3y-1=0

    d=\frac{4(7)-3(0)-1}{\sqrt{4^2+(-3)^2} } \\=\frac{28-1}{\sqrt{16+9} }\\=\frac{27}{5} \\=5.4~units

    0
    2021-08-24T23:32:59+00:00

    Answer: b

    Step-by-step explanation:

    B

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