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Bas_tet [7]
3 years ago
15

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

n terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint (x2, y2) of each line segment with the given endpoint (x1, y1) and endpoint (xm, ym).
(a)

(x1, y1) = (1, −4), (xm, ym) = (2, −1)

(x2, y2)=


(b)

(x1, y1) = (−9, 19), (xm, ym) = (5, 6)

(x2, y2)=
Mathematics
2 answers:
Levart [38]3 years ago
8 0

Answer: (a) (x_{2},y_{2}) = (3,2)

              (b)  (x_{2},y_{2}) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

x_{m}=\frac{x_{1}+x_{2}}{2}

y_{m}=\frac{y_{1}+y_{2}}{2}

Isolating x_{2}:

2x_{m}=x_{1}+x_{2}

x_{2}=2x_{m}-x_{1}

And y_{2}:

2y_{m}=y_{1}+y_{2}

y_{2}=2y_{m}-y_{1}

(a) Replacing values and calculating x_{2}:

x_{2}=(2*2)-1

x_{2}=3

Calculating y_{2}:

y_{2}=[2*(-1)]-(-4)

y_{2}=2

(x_{2},y_{2})=(3,2)

(b) x_{2}=(2*5)-(-9)

x_{2}=19

y_{2}=(2*6)-19

y_{2} = -7

(x_{2},y_{2})=(19,-7)

Zina [86]3 years ago
8 0

Answer:

D is the Right answer got it right on test and teacher said it was right

Step-by-step explanation:

Ym

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