Uni Stuff > Mathematics

Reflections in a line (Matrices)- Please Help

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Odette:
Ok but ah the points dont satisfy the equation... or isnt that the answer?
And how did -r/s= 464/323?

Odette:
Please someone help me :( :'(

Odette:
Oh nevermind I figured it out... I am so stupid sometimes lol... it was so obvious >.<

Mao:
the wording here is not exactly pedantic:

imagine your point Q being reflected by that line.
the image will be in the same position but on opposite side of that line
if you find the mid-point of those two points, you have the point where the "mirror" is, a point on your line of reflection.

so the midpoints would be:





which means:



simplifying this to:





which means, one of the possible solutions is:

and

Odette:
Yeah I got that and a different answer... so is there more than one answer?

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