Translation Vectors and Invariants

Create a 6-slide classroom presentation for a 15-minute teacher-led explanation. Slides: 1 define translation as equal directed movement of every point; 2 introduce column vector (a,b), sign meanings, and rule (x,y) maps to (x+a,y+b); 3 work P(-2,4) translated by (5,-3) to P'(3,1); 4 apply the rule to every vertex of a polygon and state that shape is preserved; 5 work P'(7,-1) under (3,-4), recovering P(4,3) by subtraction; 6 state that translations preserve lengths, angle measures, orientation, and congruency. Include clear coordinate-plane visuals and concise labels. Keep all slides explanatory and example-based.


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