Question

Hey there I need help . Point A is (4,2). what must be the coordinates of point B so that the the line X=5 is the perpendicular bisector of line AB

Answer 1

if piont a is at 4,2 you devide 4,2 by 5 and see what the answer is

Answer 2

why would i didvide point a by 5?

Answer 3

to get the bisector

Answer 4

Wait wouldn't i need a midpoint or slope?

Answer 5

no you wouldn't

Answer 6

just a slope

Answer 7

but i dont know what to do after that

Answer 8

do that

Answer 9

im still confused... do you anyone else that can help ?

Answer 10

yeah hold on while i get there name

Answer 11

ask hanifah

Answer 12

she helps everyone

Answer 13

@hanifah

Answer 14

Thank you. hopefully she will respond

Answer 15

your welcome sorry i couldn't help that much

Answer 16

it's alright at least you tried and that counts!

Answer 17

thx bye

Answer 18

=^)

Answer 19

whats that mean?

Answer 20

nevermind bye

Answer 21

bye :^}

Answer 22

hey, give me a minute to solve, haha.. i'm working on some work of my own right now =/

Answer 23

Sure! thank you for looking anyway :^)

Answer 24

alright, so this shouldn't be too hard. the best way to start solving this is by graphing it even if its just a rough sketch.. ok i was trying to draw it using the tools here, but i suck at drawing so you try to do that real fast..
1. draw line x=5
2. add point (4, 2) coordA
so the perpendicular bisector x=5 is going to do what it sounds like.. it's going to bisect/intersect the line AB in the middle.. so you can imagine that AB has to be a horizontal line then right?

Answer 25

yeah line ab should be horizontal

Answer 26

so we know the y term of Point B has to be 2 and since i'm assuming the line starts at Point A what you would do to find the x term of Point B is take the distance between 4 and 5 which is one and add that to 5.

basically waht you have is the distance from the bisector to Point A which is 1(horizontally) and you use that distance to figure out how far you have to go to reach the end.

this got kinda wordy.. does that make sense? i'm going to dry to draw it.

Answer 27

Point B should be (6, 2) lmk if this is what the problem is asking.. is there anyother condition or anything?

Answer 28

also here's a good animation of a bisector that cna help http://www.mathopenref.com/bisectorperpendicular.html

Answer 29

the answer is (6,2) but can a perpindicular bisector be slanted or not equal to 90 degrees?

Answer 30

"basically waht you have is the distance from the bisector to Point A which is 1(horizontally) and you use that distance to figure out how far you have to go to reach the end. " i am confused

Answer 31

the problem is is that if I plot the points (4,2) (5,0) and (6,2) and x=5 is the
perpendicular bisector then it wouldn't be perpendicular

Answer 32

so that's what i thought the line was at first (slanted) but it's not. AB is going to be horizontal because the bisector is vertical. in general it could be increasing or decreasing (slanted), but the perp. bisector would have to reflect that. got it?

Answer 33

then they should have said bisector instead of perpinducular bisector thats where i'm getting confused

Answer 34

ok so a better way to write this out is in math language:

midpoint = bisector coordinates that intersect the line
*imagine a cross like '+' where those two lines intersect is the midpoint between a line (both lines in this case).

so this question is asking you for the coordinates of Point B. to find that out, you have to figure out how long AB is. You are given this other line (bisector) that crosses AB exactly in the middle, so if you draw it out it becomes clear that the distance between AB is 2*(distance between X=5 and A)