Question

Jamel discovers that the sum of point B and point C is zero.

which sentence is a correct statement about points B and C ?

Answer 1

Point B and C are additive inverses of each other I e they are Opposite

• (x,y)=-(a,b)=(-a,-b)[a=x,b=y]

Because then

• x-a=0
• y-b=0

Answer 2

QUESTION:

Jamal discovers that the sum of point B and point C is zero which sentence is a correct statement about points B and C.A. point B is twice the distance to the left of zero as C is to the right of zero. .B. Point B is the opposite of point C..C. Point B has the value of zero and point C has a value less than zero. .D. Point B is positive while point C is negative

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• B. Point B is opposite of Point C

Explanation:

Let B (x1, y1) and C (x2, y2) be two points.

if sum of B and C is 0:

([x1 + x2]/2, [y1 +y2]/2) = (0, 0)

then

[x1 + x2]/2=0 then x1+x2=0 then x1 = -x2 similarly, [y1+y2]/2=0 then y1+y2 = 0 then y1=-y2

Therefore,

B= (-x2, -y2) while C (x2, y2)