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Mathematics 18 Online
OpenStudy (anonymous):

Someone please please help me with this geometry quesiton

OpenStudy (anonymous):

what is the image of the point (-5,-9) reflected across the y-axis

OpenStudy (danjs):

flipping over the y-axis will change the sign on the x coordinate

OpenStudy (anonymous):

so the answer will be (5,-9)?

OpenStudy (danjs):

graph it and see

OpenStudy (danjs):

yeah, flip means 'perpendicular to' the y-axis

OpenStudy (danjs):

for a single point

OpenStudy (anonymous):

aha... and how about this.. what is the image of the point (-2,-4) relfected across the line y = x

OpenStudy (danjs):

reflecting something perpendicularly over y=x, also called the inverse if it exists

OpenStudy (danjs):

|dw:1449190874361:dw|

OpenStudy (danjs):

here, the signs change on both y and x

OpenStudy (anonymous):

i see I understand now :) !!!

OpenStudy (danjs):

sorry , forget that

OpenStudy (anonymous):

oh

OpenStudy (danjs):

it looks like this, perpendicular to th eline y=x

OpenStudy (danjs):

|dw:1449191063013:dw|

OpenStudy (danjs):

just change y and x around

OpenStudy (anonymous):

so (2,4)?

OpenStudy (danjs):

|dw:1449191178658:dw|

OpenStudy (danjs):

any point reflected over the line y=x, just change x and y like that

OpenStudy (danjs):

graph the points (1,1) (-1,1) (-1,-1) (1,-1) notice reflecting from one to the other over each axis, how the signs change

OpenStudy (danjs):

you good on that, or

OpenStudy (anonymous):

ok so the answer is (-4,-2)

OpenStudy (danjs):

reflection over x-axis --- change sign on y coordinate reflection over y-axis ----change sign on x coordinate reflection over y=x -----swap coordinates (y,x)

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