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It can be but in general a reflection in a line produces a 'mirror image'

Q: Is the reflection of a figure in the x-axis equivalent to the rotation of that same figure 180 about the orgin?

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The orgin

Switch the coordinates and change the sign of the second one by multiplying it by negative 1. Here are some examples and a more general way to understand the problem. Consider the point (1,1), a 90 degree rotation clockwise about the origin would move it into the 4th quadrant. The new point is (1,-1) , similarly (-4,2)-> (2,4), (-4,3)-> (3,4) We take a point p= (x,y) the the result of rotation p 90 clockwise about the orgin is a new point p'=(x',y')= (-y, x). . In the case of p=(1,0) the new point is p'= (0, -1) One can use a matrix where the first row is cos(a), sin(a) and the second row is -sin(a) cos(a) for any clockwise rotation of a degrees about the origin. If we let a=90 degrees we have [0 1] as the first row and [-1 0] as the second row. So the matrix is: |0 1| |-1 0| Call that matrix M So a point p= (x,y) can be multiplied by M as follows Mp=p' where p' is the rotated point. If p=(-4,2) then Mp is M(-4,2) which after matrix multiplication means x'=0*-4+1*2=2 and y'=-1*-4+0*2=4 So p'=(2,4) Try it with (1,0) x'=1*0+0*1=0 y'=-1*1+0*1=-1 so p'=(0,-1) and (1,0)->(0,-1) How about the point on the y axis (0,1), it should go to the point (1,0) 0*1+1*1=1 and -1*0+0*1 gives you the pont (1,0) ( we don't see the negative sign because -0 is just 0)

ok here we go now first lets start with the cross 4 points north south east in west representing the four elements of life of creation itself but also theres a fifth point the point of origin from which all other points begin and end the middle the fith element the point of orgin represents God the creator alpha and omega thats why christ is pictured in the middle who was christ god i and my farther are one n the same none shall come unto the farther but thru me ...now also lets look at reverlation which depicts the destruction of everything but suggesting god would destroy evil dark god is all goood evil male female right wrong yin & yang 2 halves one whole so which means were all one god is perfect were imperfect yin yang one

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