Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
OpenSessame
Group Title
Find the image of P(–2, –1) after two reflections; first Ry=5 and then Rx=1.
A. (–2, –1)
B. (–1, –6)
C. (4, –9)
D. (1, –5)
 11 months ago
 11 months ago
OpenSessame Group Title
Find the image of P(–2, –1) after two reflections; first Ry=5 and then Rx=1. A. (–2, –1) B. (–1, –6) C. (4, –9) D. (1, –5)
 11 months ago
 11 months ago

This Question is Closed

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
So the Ry=5 and Rx=1 are the lines you need to reflect across?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Those are the reflections
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
A reflection is usually over a line.... so I want to make sure that is the notation you are using.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
I think so...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
http://www.mathopenref.com/reflect.html Like it says there, "A transformation where each point in a shape appears at an equal distance on the opposite side of a given line  the line of reflection. " So, start by just doing a rough sketch. Does not need to be exact, but you need to find where the dot and line would be and how far the line is from the dot. If you can do that with math, great! But a sketch can help.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Okay, but i dont understand what i have to do...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Well, it needs to be an equal distance from the line on the other side of the line.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Where did the line come from????
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
You lost me..
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Ry=5 \(\leftarrow\) that is the line part.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Let me show you an example.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Okay...Just show me with this one
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
If I work this that is me giving you an answer. If I work an example you can follow the process and answer your own homework. Lets say I take this random dot: dw:1376455485961:dw And lets say I have Ry=1, so the line where every Y is 1.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
dw:1376455572591:dw
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Well, im really lost man...So i wouldnt even get it
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
That is an example already, im just doing a text review for before i take it. so it doesnt count
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
The important measure is the distance from the dot to the line. dw:1376455620753:dw Because I need to put the reflection the SAME DISTANCE on the other side of the line.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
dw:1376455677255:dw
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Do the distance is the number in the equation?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Let me try to do mine...one sec
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
The distance is the measure from your point and the line.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Yours is done twice.... so see what you get for the first step and I can check it. Then the second step.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
dw:1376455841757:dw
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
OK, that is a good (2,1).
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
dw:1376455914360:dw
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Now what do i do exactly?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
OK, so what is the measure of the distance between your dot and the line? dw:1376456012468:dw
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Not quite. Tewo problems. This is change in y, not x, and distance is always positive.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so 4?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Yes. So your point is 4 above the line. That means the reflection must be 4 BELOW the line!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so at 5?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
wait no....4?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
The line is at 5. So 4 below 5.... or 54=?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Above is +, below is . Similarly, to the left of is , to the right of is +. Has to do with the Cartesian (xy) plane rules.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Ohhhh so 9?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Yes. That means the X is the same and the Y is now 9. So, the point after 1 translation is at (2,9). dw:1376456612998:dw
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Now you have the line Rx=1 to do the second reflection over.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
okay:) i get it!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
dw:1376456678313:dw
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
dw:1376456695550:dw
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
So, how far this time?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
\(\large\ddot\smile\)
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so the point would me three to the right?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so (4,9)????
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Yes, 3 to the right of 1. And yep, that is it. (4,9).
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
wait im gonna see if it matches...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Now, once you get good at the math, you should not need a sketch, but if yuou are ever in doubt, the rough sketch is there to help!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Okay, the textbook just didnt really explain it
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
The thing I think most people mes up here is the line.... because x=0 is the y axis, and y=0 is the x axis. So they give you a y line but you draw it the same way as the x axis and that can be confusing!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
yea, thats the right answer! thanks:)
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Can you help with some other questions that i dont get?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Probably. I can explain it the same basic way I always do and hopefully it works like this and you get it!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Okay, thanks:)
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
What composition of rigid motions and a dilation maps EFGH to the dashed figure? https://study.ashworthcollege.edu/access/content/group/45b8c516100846d7aa1dbb9b62c786ff/geometry_exam_9_files/mc0201.jpg
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
OK. Dilation is going to be the size change. The rigit motion will get it from one place to the other.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Okay...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
It is probably easiest to do the dilation first. That will be some multiplication number. It is a ratio of the sides.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Okay...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
For example, this would be a dialation by 3..... dw:1376457753408:dw So start by finding how long the sides of both rectangles are.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
wait is the answer D2*T<0,6>
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
2x the size, so yah, a dialation of 2. I didn't do the rest yet, but that would probably do it.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Really??? woooohoooo
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Hmmm.... 6.... is that enough on the translation?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Idk...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Well, lets look at this real quick: dw:1376458028692:dw Now you need to double the size.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
The dialation is times 2?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
dw:1376458060944:dw OK, that makes them reflections of each other.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
So now, one of two things needs to happne.... It either needs to be reflected over the x axis, OR, corner H needs to go all the way down to the bottom corner. dw:1376458143764:dw
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so its shifted down 6
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Well, is that 6? That bottom corner is at 9....
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
or 10, actually.... counted wrong.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
So it has to go from 2 above to 10 below... so....
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so uhm...It would be 11?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Yep! So 2D, T\(\langle 0,12\rangle\) is more like it.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
that isnt one of my options
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Hmmm.... AH.... OK... the dialaion is probably also changing the translation! \(2\langle 0,6\rangle = \langle 0,12\rangle\)
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
So my bad. Looks like you did have it right.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
YUS:) thanks though!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30° angles. What is r(240drg,0)(G)
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Well, the good news is you should understand the why a bit better! By exploring these, it lets you understand the why of it all....
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
okay!
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Hmmm..... I have not seen that form of question.... my geometry was a while back, and they have changed some of the things they do... Do you know what it is looking for, any terms? An angle?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
240 degrees
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Thats really all i understand...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
r is usually a radius.... but there is no distance....
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
I think r is the point?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Is it R and not r?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Thats the problem..
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
hmmm..... Well, 240/30=8 segments.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so 8 to the left or right?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Well, if r is right... but that would be a guess on my part. Right 8 of G? I would need to see the reference to know they type of peoblem to get this one.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
So would it be K???
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
I would only be guessing without the book and chapter.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Okay...Well for me thats better then nothing!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
The vertices of a triangle are P(–8, 6), Q(1, –3), and R(–6, –3). Name the vertices of \[R _{y=x}(PQR)\]
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Is that a reflection over the y axis?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
I believe it is.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
AH HA! Found a reference! http://www.regentsprep.org/Regents/math/geometry/GT6/composition.htm
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
You did??
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
OOOOO
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
The composition part does not matter here.... the \(R_y\) part is reflection over the y axis!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
So just make it the other sign?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
And even better! http://www.regentsprep.org/Regents/math/geometry/GT5/reviewTranformations.htm
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Would the first point be (6,8)
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
OHHHH!!! MAKES SENSE!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
so (6,8)
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Amazing what finding a reference to the symbols can do!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
YEA! Thanks so much man!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Write a sequence of rigid motions that maps ab and xy
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
LAST ONE AND I WILL UNDERSTAND GEOMETRY!
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
That composition part also confirms what we talked about with the <0,6> becoming <0,12>. The SECOND part of the compositon happens first!
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
the second part is (AB=XY)
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Are those seperate calculations for those two?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
The top doesnt matter just look at the lines
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Yah, well, then that is some sort of what? Rotation, reflection etc?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Reflection?
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Remember that A is going to X and B is going to Y..... should be a huge clue.... YES! Some sort of reflection.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
So, you just need to find the line they are reflected over.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
It would be half way between them.
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Are they both the same distance from x=0?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
yES...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Did you count the distance from 0 to X and 0 to A?
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
no...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
Take a second look.... they are not the same.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Oh...
 11 months ago

e.mccormick Group TitleBest ResponseYou've already chosen the best response.2
You want the line half way between. So take the distance between the two points and divide by 2. It will be that far to the left of the right most line, and right of the left most line.
 11 months ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
okay...
 11 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.