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1.7 Motion in the Coordinate Plane

1.7 Motion in the Coordinate Plane. Date: _______. Label the following on the graph. y. x-axis y-axis origin Quadrants I, II, III, IV. II. I. origin. x. III. IV. Cartesian Coordinates. (x, y). tells how far left or right to go from the origin.

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1.7 Motion in the Coordinate Plane

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  1. 1.7Motion in the Coordinate Plane Date: _______

  2. Label the following on the graph. y • x-axis • y-axis • origin • Quadrants I, II, III, IV II I origin x III IV

  3. Cartesian Coordinates (x, y) tells how far left or right to go from the origin tells how far up or down to go from the origin

  4. Graph the following points and label with the appropriate letter. E A(1,3) B(3,1) C(-4,-1) D(-3,1) E(0,5) F(-2,0) G(5,-2) A D B F C G

  5. Transformations on the Coordinate Plane • Identify the coordinates of each vertex. • Plug the coordinates into the rule. • Plot the new points and connect. • Identify the transformation.

  6. Use the given rule to transform the figure. Then describe the transformation. Rule: (x, y+3) Add 3 to the y’s. Preimage Image (1,3) (1, 6) (1,1) (1, 4) translated figure up 3 units (4,1) (4, 4)

  7. Use the given rule to transform the figure. Then describe the transformation. Rule: (x+5, y) Add 5 to the x’s. Preimage Image (-4,3) (1, 3) (-4,1) (1, 1) translated figure right 5 units (-1,1) (4, 1)

  8. Use the given rule to transform the figure. Then describe the transformation. Rule: (x-2, y) Subtract 2 from x’s Preimage Image (-3,-2) (-5, -2) (-3,-4) (-5, -4) translated figure left 2 units (0,-4) (-2, -4)

  9. Use the given rule to transform the figure. Then describe the transformation. Rule: (x, y–4) Subtract 4 from y’s. Preimage Image (2,1) (2, -3) (2,-1) (2, -5) translated figure down 4 units (5,-1) (5, -5)

  10. Summary of Translations Translates RIGHT Add to x Subtract from x Translates LEFT Add to y Translates UP Translates DOWN Subtract from y

  11. Describe each transformation. (x+10, y) (x–5, y) (x, y+7) (x, y–6) (x+3,y–7) (x–4,y–5) (x–8,y+9) translates right 10 translates left 5 translates up 7 translates down 6 translates right 3 and down 7 translates left 4 and down 5 translates left 8 and up 9

  12. Use the given rule to transform the figure. Then describe the transformation. Rule: (-x, y) 0pposite of x’s Preimage Image (1,3) (-1,3) (1,1) (-1,1) Reflects the figure over the y-axis (4,1) (-4,1)

  13. Use the given rule to transform the figure. Then describe the transformation. Rule: (x, -y) 0pposite of y’s Preimage Image (1,5) (1,-5) (1,3) (1,-3) Reflects the figure over the x-axis (4,3) (4,-3)

  14. Use the given rule to transform the figure. Then describe the transformation. Rule: (-x, -y) opposite of x’s opposite of y’s Preimage Image (4,5) (-4,-5) (2,1) (-2,-1) Rotates the figure 180° (4,1) (-4,-1)

  15. Summary of Reflections and Rotations Reflects over y-axis (-x,y) (x,-y) Reflects over x-axis (-x,-y) Rotates figure 180°

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