Translate the figure 2 units left and 4 units down. What are the coordinates of the image?
Translate the figure 2 units left and 4 units down. What are the coordinates of the image?
Step 1: We know that to translate a figure ‘a’ units horizontally and ‘b’ units vertically in the coordinate plane, ‘a’ is to be added to the
x-coordinate and ‘b’ is to be added to the y-coordinates of the vertices. Then new coordinates become:-
A (x,y) = A'(x+a, y+b)
The value ‘a’ and ‘b’ will be positive if the shift is Right and Vertical up respectively and the value of ‘a’ and ‘b’ will be negative if the shift is left and vertical down respectively.
Now from the graph we can have coordinates:
A(-1,4), B(2,3), C(3,0), D(-1,-1)
and
a = -2, b = -4
A'(-1+a, 4+b) = A'(-1-2, 4-4) = A'(-3,0)
B'(2+a, 3+b) = B'(2-2, 3-4) = B'(0,-1)
C'(3+a, 0+b) = C'(3-2, 0-4) = C'(1,-4)
D'(-1+a, -1+b) = D'(-1-2, -1-4) = D'(-3,-5)
The coordinate of image are A'(-3,0), B'(0,-1), C'(1,-4), D'(-3,-5)
Final Answer: The coordinate of image are A'(-3,0), B'(0,-1), C'(1,-4), D'(-3,-5)
Step 1: We know that to translate a figure ‘a’ units horizontally and ‘b’ units vertically in the coordinate plane, ‘a’ is to be added to the
x-coordinate and ‘b’ is to be added to the y-coordinates of the vertices. Then new coordinates become:-
A (x,y) = A'(x+a, y+b)
The value ‘a’ and ‘b’ will be positive if the shift is Right and Vertical up respectively and the value of ‘a’ and ‘b’ will be negative if the shift is left and vertical down respectively.
Now from the graph we can have coordinates:
A(-1,4), B(2,3), C(3,0), D(-1,-1)
and
a = -2, b = -4
A'(-1+a, 4+b) = A'(-1-2, 4-4) = A'(-3,0)
B'(2+a, 3+b) = B'(2-2, 3-4) = B'(0,-1)
C'(3+a, 0+b) = C'(3-2, 0-4) = C'(1,-4)
D'(-1+a, -1+b) = D'(-1-2, -1-4) = D'(-3,-5)
The coordinate of image are A'(-3,0), B'(0,-1), C'(1,-4), D'(-3,-5)
Final Answer: The coordinate of image are A'(-3,0), B'(0,-1), C'(1,-4), D'(-3,-5)
