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list the coordinates. translate the shape 9 units left and and 9 units …

Question

list the coordinates. translate the shape 9 units left and and 9 units down. what are the new
r: \ty: \tg: \tb:
r’: \ty’: \tg’: \tb’:

Explanation:

Step1: Determine original coordinates

Assume the grid has the origin (0,0) at the intersection of the two black lines (horizontal and vertical). Let's find the coordinates:

  • For point R: Let's say from the origin (assuming the vertical line is y - axis and horizontal is x - axis, with right and up as positive). If R is 2 units left of the vertical line (x=-2) and on the horizontal line (y = 0), so R: (-2, 0)
  • For point Y: 1 unit left of vertical line (x=-1) and 4 units up (y = 4), so Y: (-1, 4)
  • For point G: 8 units left of vertical line (x=-8) and 8 units up (y = 8), so G: (-8, 8)
  • For point B: 6 units left of vertical line (x=-6) and 1 unit up (y = 1), so B: (-6, 1)

Step2: Apply translation (left 9 units: subtract 9 from x - coordinate; down 9 units: subtract 9 from y - coordinate)

For R:

Original coordinates: $(-2,0)$
New x: $-2 - 9=-11$; New y: $0 - 9=-9$; So $R'(-11,-9)$

For Y:

Original coordinates: $(-1,4)$
New x: $-1 - 9=-10$; New y: $4 - 9=-5$; So $Y'(-10,-5)$

For G:

Original coordinates: $(-8,8)$
New x: $-8 - 9=-17$; New y: $8 - 9=-1$; So $G'(-17,-1)$

For B:

Original coordinates: $(-6,1)$
New x: $-6 - 9=-15$; New y: $1 - 9=-8$; So $B'(-15,-8)$

Answer:

R:Y:G:B:
R':Y':G':B':
(-11, -9)(-10, -5)(-17, -1)(-15, -8)