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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
In the standard xy-coordinate plane, the point M(-1, 3) is t
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29 Mar 2020, 08:30
29 Mar 2020, 08:30
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In the standard xy-coordinate plane, the point M(-1, 3) is the midpoint of a line segment whose endpoints are A(2, -4) and B. What are the xy-coordinates of point B?
(A) (-1,-2)
(B) (-3,8)
(C) (8,-4)
(D) (5,12)
(E) (-4,10)
(A) (-1,-2)
(B) (-3,8)
(C) (8,-4)
(D) (5,12)
(E) (-4,10)
Re: In the standard xy-coordinate plane, the point M(-1, 3) is t
[#permalink]
29 Mar 2020, 22:22
29 Mar 2020, 22:22
1
It is given that M is midpoint and point A is also given, which suggests that point B will extend in the direction of point M, i.e coordinates of B will be (-x,+y), thus we can eliminate option A,C,D. Now, we can use B and E points and find out using the which one gives point M coordinate.
Midpoint can be found out using (x1+x2/2 , y1+y2/2).
On solving for E, we get (-4+2/2, 10-4/2) = (-2/2, 6/2) = (-1 , 3), which is point M. Thus, E is the answer.
Midpoint can be found out using (x1+x2/2 , y1+y2/2).
On solving for E, we get (-4+2/2, 10-4/2) = (-2/2, 6/2) = (-1 , 3), which is point M. Thus, E is the answer.
gmatclubot
Re: In the standard xy-coordinate plane, the point M(-1, 3) is t [#permalink]
29 Mar 2020, 22:22
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