1.7 Motion in the Coordinate Plane Date: _______.

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1.7 Motion in the Coordinate Plane Date: _______

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

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

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

Transformations on the Coordinate Plane 1.Identify the coordinates of each vertex. 2.Plug the coordinates into the rule. 3.Plot the new points and connect. 4.Identify the transformation.

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

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

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

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

Summary of Translations Add to x Translates RIGHT Subtract from xTranslates LEFT Add to yTranslates UP Subtract from y Translates DOWN

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 3and down 7 translates left 4and down 5 translates left 8and up 9

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

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

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

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