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Mathematics 9 Online
OpenStudy (anonymous):

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)

OpenStudy (e.mccormick):

So the Ry=-5 and Rx=1 are the lines you need to reflect across?

OpenStudy (anonymous):

Those are the reflections

OpenStudy (e.mccormick):

A reflection is usually over a line.... so I want to make sure that is the notation you are using.

OpenStudy (anonymous):

I think so...

OpenStudy (e.mccormick):

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.

OpenStudy (anonymous):

Okay, but i dont understand what i have to do...

OpenStudy (e.mccormick):

Well, it needs to be an equal distance from the line on the other side of the line.

OpenStudy (anonymous):

Where did the line come from????

OpenStudy (anonymous):

You lost me..

OpenStudy (e.mccormick):

Ry=-5 \(\leftarrow\) that is the line part.

OpenStudy (e.mccormick):

Let me show you an example.

OpenStudy (anonymous):

Okay...Just show me with this one

OpenStudy (e.mccormick):

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.

OpenStudy (e.mccormick):

|dw:1376455572591:dw|

OpenStudy (anonymous):

Well, im really lost man...So i wouldnt even get it

OpenStudy (anonymous):

That is an example already, im just doing a text review for before i take it. so it doesnt count

OpenStudy (e.mccormick):

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.

OpenStudy (e.mccormick):

|dw:1376455677255:dw|

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