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Question
in the diagram, which transformation makes triangle 2 the image of triangle 1? 1 reflection in the y - axis 2 dilation 3 translation 4 rotation centered at the origin
A reflection in the y - axis flips a figure over the y - axis. If we have a point (x,y) in triangle 1, after reflection in the y - axis, it becomes (-x,y). Looking at the diagram, triangle 2 is the mirror - image of triangle 1 across the y - axis. A dilation changes the size of a figure, a translation moves a figure without rotating or reflecting it, and a rotation centered at the origin changes the orientation of a figure around the origin. Since the orientation of the triangles is the same and only their position relative to the y - axis is different, it is a reflection in the y - axis.
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- reflection in the y - axis