Transformations Day 1: Graphing. Vocabulary Transformations – mapping of a figure on the coordinate plane. 1) Reflection: Mirror image x-axis (x,y) →(x,-y)

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Transformations on the Coordinate Plane

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Presentation transcript:

Transformations Day 1: Graphing

Vocabulary Transformations – mapping of a figure on the coordinate plane. 1) Reflection: Mirror image x-axis (x,y) →(x,-y) y-axis (x,y) →(-x,y) y = x (x,y) →(y,x) 2) Dilation: reduce or enlarge figure mulitply (x,y) by value 3) Translation: shift or slide figure Left → subtract from x Right → add to x Up →add to y Down → subtract from y 4) Rotation: turn figure in a counterclockwise motion 90° (x,y) → (-y,x) 180° (x,y) → (-x,-y) 270° (x,y) → (y,-x)

Examples: A(2,1), B(6,6), C(8,2) 1) Rx2) Ry

Examples: A(2,1), B(6,6), C(8,2) 3) T(x+1,y-2)4) T(x-3,y+2)

Examples: A(2,1), B(6,6), C(8,2) 5) R o,90 6) R o,180

Examples: A(2,1), B(6,6), C(8,2) 7) D o,3 8) D o,0.5

Sample Questions

Sample Question