The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Write a translation rule that maps point D(7, –3) onto point D'(2, 5).
2 = 7-5
5 = -3+8
so, (x,y) → (x-5,y+8)
To write a translation rule that maps point D(7, -3) onto point D'(2, 5), we need to determine the horizontal and vertical shifts.
Horizontal shift:
The horizontal shift is the difference between the x-coordinates of the two points.
Horizontal shift = x-coordinate of D' - x-coordinate of D
Horizontal shift = 2 - 7 = -5
Vertical shift:
The vertical shift is the difference between the y-coordinates of the two points.
Vertical shift = y-coordinate of D' - y-coordinate of D
Vertical shift = 5 - (-3) = 8
Therefore, the translation rule to map point D(7, -3) onto point D'(2, 5) is:
Translate D(x, y) to D'(x - 5, y + 8).
To write a translation rule that maps point D(7, -3) onto D'(2, 5), you need to determine the horizontal and vertical translation values.
The horizontal translation value can be found by calculating the difference between the x-coordinates of the two points: D'(2) - D(7) = -5. This indicates a horizontal translation of -5 units.
The vertical translation value can be found by calculating the difference between the y-coordinates of the two points: D'(5) - D(-3) = 8. This indicates a vertical translation of 8 units.
Therefore, the translation rule that maps point D(7, -3) onto D'(2, 5) is:
x-coordinate translation: x → x - 5
y-coordinate translation: y → y + 8
So, if you apply this translation rule to point D(7, -3), you will get point D'(2, 5).