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r_{y}: (x, y)
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(reflection over the yaxis) 

Definition


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r_{x}: (x, y)
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(reflection over the xaxis) 

Definition


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r_{y=x}: (x, y)
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(reflection over line y=x) 

Definition


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r_{y=x}: (x, y)
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(reflection over line y=x) 

Definition


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T_{hk}: (x, y)
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(transforming the figure the distance of h horizontally and k verically) 

Definition


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R_{90}: (x, y)
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(90 degrees rotation) 

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R_{180}: (x, y)
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(180 degrees rotation) 

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R_{270}: (x, y)
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(270 degrees rotation) 

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The direction that a figure is facing. 


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A copy of an original polygon that has been reflected, moved, enlarged, reduced or rotated. 


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A way of marking transformed figures. 


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dp = (x1 * x2) + (y1 * y2) Used to determine if two vectors are perpendicular. 


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A command or instruction that has magnitude and depth. 


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Dot Product Theorem of Vectors 

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If the dot product is zero, then the vectors are perpendicular. 


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m = difference of y / difference of x. Tells if the vectors are parallel, perpendicular or none. 


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Adding vectors together. Add the x's, then the y's. 


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D = √(x_{2}  x_{1})^{2} + (y_{2}  y_{1})^{2} 


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Combining more than one transformation. 


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Around the origin (0, 0). Can be a quarter turn, half turn, threequarter turn and full turn. 


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What is the transformation method that we are using called? 

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Algebraic transformations 


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The figure before the transformation. 


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The figure before the transformation. 


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The figure after the transformation. 


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The figure after the transformation. 


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Translation followed by a reflection. Translation + reflection = composite. 


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I: Upper right II: Upper left III: Lower left IV: Lower right 


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What is the xaxis also called? 

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What is the yaxis also called? 

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