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Mathematics 13 Online
OpenStudy (anonymous):

Can someone show me how to do this? WILL MEDAL! Find the image of O(-2,-1) after two reflections, first across the line y = -5 and then the line x = 1 Am I supposed to find the difference between the y values then subtract that from -5? Help please

OpenStudy (anonymous):

have you learned rise over run?

OpenStudy (anonymous):

Yes, but a while ago :L

OpenStudy (anonymous):

alright so y would be your rise because the y axis goes up and down while your x will be the run therefore you will travel from point -2,-1 up 1 and over 5.

OpenStudy (anonymous):

Thats what i think there asking. atleast thats how i would solve it! hope this helps!

OpenStudy (anonymous):

@jim_thompson5910 can you help clarify a little? I have the options of (4,-9) (-2,-1) (1,-5) (-1,-6)

jimthompson5910 (jim_thompson5910):

reflect (-2,-1) over the line y = -5 to get ???

OpenStudy (anonymous):

That is what Im confused about. I believe I understand rise/run but I really confused

OpenStudy (anonymous):

Im*

jimthompson5910 (jim_thompson5910):

Here's the initial graph of the point (-2,-1) and the line y = -5

jimthompson5910 (jim_thompson5910):

What's the vertical distance from the point (-2,-1) to the red line y = -5 ?

OpenStudy (anonymous):

Ok, I see, it is -4, so it would be (4,-9)?

jimthompson5910 (jim_thompson5910):

4 units (distance is always positive)

jimthompson5910 (jim_thompson5910):

you go another 4 units down to land on (4,-9)

jimthompson5910 (jim_thompson5910):

that's the result of reflecting (-2,-1) over y = -5

jimthompson5910 (jim_thompson5910):

do the same for the next reflection but keep in mind that x = 1 is a vertical line

OpenStudy (anonymous):

Ok, so its (-2,-1) after the x = 1 reflection?

jimthompson5910 (jim_thompson5910):

(-2,-1) is the original point

jimthompson5910 (jim_thompson5910):

Step 1: start with (-2,-1) step 2: reflect over y = -5 to get (-2,-9) (see attached) step 3: reflect (-2,-9) over the line x = 1 to get ???

OpenStudy (anonymous):

OHH, my bad, sorry for my incompetence. It is 4,-9.

jimthompson5910 (jim_thompson5910):

very good

jimthompson5910 (jim_thompson5910):

we start at point A A reflects over y = -5 to get A' then A' reflects over x = 1 to get A''

OpenStudy (anonymous):

Thank you so much!

jimthompson5910 (jim_thompson5910):

you're welcome

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