Find the midpoint of a segment AB is (5, 3). What is the missing coordinates. A = (2, 5) and B = (8, y)Group of answer choicesy = 3y = -2y = 1y = 5
Question
Find the midpoint of a segment AB is (5, 3). What is the missing coordinates. A = (2, 5) and B = (8, y)Group of answer choicesy = 3y = -2y = 1y = 5
Solution
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula ((x1 + x2)/2, (y1 + y2)/2).
Given that the midpoint is (5, 3) and one of the endpoints is (2, 5), we can substitute these values into the formula to find the missing y-coordinate of the other endpoint.
So, we have:
(2 + x2)/2 = 5, which simplifies to x2 = 8. This matches the given x-coordinate of point B, so our substitution is correct.
(5 + y2)/2 = 3, which simplifies to y2 = 2*3 - 5 = 1.
So, the missing y-coordinate of point B is 1. Therefore, the correct answer is y = 1.
Similar Questions
Find the midpoint of the line segment with the endpoints A and B. A(8,2); B(4,6)
18 The coordinates of two points A and B are (−1, 3) and (5, 7). Find:(a) the coordinates of the midpoint of AB(b) the equation of the circle of which AB is a diameter(c) the coordinates of the intersection points of the circle with the y-axis.
What are the coordinates of the midpoint of the line segment with endpoints H(-2, 0) and G(8, 6)?Group of answer choices(-1, 7)(2, 2)(5, 3)(3, 3)
Find the midpoint of the segment with the following endpoints.left bracket, 2, comma, 1, right bracket, and , left bracket, 8, comma, minus, 5, right bracket(2,1) and (8,−5)
If the coordinates of the vertices of the triangle ABC be A(-1,6), B(-3,-9), and C(5,-8) respectively. i) Find the coordinated of the midpoint of AB II) Find the equation of the median through C in the form ax+by+c=0
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.