10) One endpoint of a segment is at the point (-2,3) and the midpoint is at the point (5,- 1). Find the other endpoint. 842 on endpoint and (Y) as its midpoint. Find the other X414 y-4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 4PT: Find the exact distance between (5,3)and(2,8) . Find the coordinates of the midpoint of the line...
Question
X12
y-y
X414
10) One endpoint of a segment is at the point (-2,3) and the midpoint is at the point (5,- 1).
Find the other endpoint.
11) A line segment has (x₁, y₁) as one endpoint and (x,y) as its midpoint. Find the other
endpoint (x, y₂) in terms of x₁, y₁, Xm, and ym.
12) Use the results of #11 to check your answer for #10.
X₁ + X 2
13) Use the midpoint formula three times to find the three points that divide the line segment
joining (x₁, y₁) and (x, y₂) into four congruent parts.
(gr+y₂
2
Det
ati
5)
5)
pert
2
14) Prove that the diagonals of the parallelogram in the figure below bisect each other.
2
(0,0)
(b,c)
12.01
у-б
(a+b,c)
Transcribed Image Text:X12 y-y X414 10) One endpoint of a segment is at the point (-2,3) and the midpoint is at the point (5,- 1). Find the other endpoint. 11) A line segment has (x₁, y₁) as one endpoint and (x,y) as its midpoint. Find the other endpoint (x, y₂) in terms of x₁, y₁, Xm, and ym. 12) Use the results of #11 to check your answer for #10. X₁ + X 2 13) Use the midpoint formula three times to find the three points that divide the line segment joining (x₁, y₁) and (x, y₂) into four congruent parts. (gr+y₂ 2 Det ati 5) 5) pert 2 14) Prove that the diagonals of the parallelogram in the figure below bisect each other. 2 (0,0) (b,c) 12.01 у-б (a+b,c)
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