Closed 6 years ago.
You are watching: How to find one endpoint from an endpoint and a midpoint
A heat segment v one end at C(6,5)has midpoint M(4,2). Determine the works with of the various other endpoint, D. Define your solution and also describe a an approach to check your answer.
It"s very very simple:
The midpoint formula give you:$$M=(x_m,y_m)=left( dfracx_1+x_22,dfracy_1+y_22 ight)$$where $(x_1,y_1)$ are the works with of a point, say your $C$, and also $(x_2,y_2)$ space the coordinate of the oter point, i.e the point $D$ the you space searching.
So, substituting the given collaborates you have:
$$4=dfrac6+x_22 quad land quad 2=dfrac5+y_22$$Now have the right to you solve these two simple equations?
$$4cdot 2=6+x_2 Rightarrow 8-6=x_2 Rightarrow x_2=2$$$$2 cdot 2=5+y_2 Rightarrow 4-5=y_2 Rightarrow y_2=-1$$
re-superstructure
mention
monitor
edited Mar 5 "17 in ~ 19:23
A. Salguero-Alarcón
3,57777 silver badges2323 bronze badges
answer Mar 5 "15 in ~ 22:08
Emilio NovatiEmilio Novati
59.4k55 gold badges4040 silver- badges101101 bronze title
$endgroup$
4
add a comment |
Not the price you're looking for? Browse various other questions tagged analytic-geometry or asking your own question.
Featured ~ above Meta
related
3
Best means to uncover the collaborates of a allude on a Line-Segment a stated Distance far from another suggest
5
given works with of beginning and end of 2 intersecting heat segments exactly how do i find works with of their intersection?
3
Locus of the mid suggest of a heat segment
2
exactly how to division a line into 3 equal parts
2
showing the co-ordinates the the mid suggest of a heat segment (from Stewart analysis Geometry Review).
1
Finding works with for a perpendicular point from the midpoint between two various other points.
0
discover equation that line offered length the a segment and allude
2
i m sorry number corresponds to the appropriate endpoint of heat segment <0,1)?
1
One end allude of the line segment $P_1P_2$ has collaborates $P_1(-1, 2, 5)$
warm Network concerns an ext hot concerns
smashville247.netematics
agency
stack Exchange Network
site architecture / logo © 2021 stack Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.10.20.40515
See more: Government Of Law And Not Of Man Meaning, A Government Of Law, Not Of Men
smashville247.netematics ridge Exchange works ideal with JavaScript enabled
your privacy
By click “Accept every cookies”, you agree stack Exchange deserve to store cookies on your device and disclose details in accordance v our Cookie Policy.