Since we a looking for the position of A we can work on Point A without drawing the diagram.
STEP 1
We pick out the coordinates of A. This is given as (5,4) this implies that the position of A on the cartesian plane is (5,4)
STEP 2:
If we translate ABC by 2 units to the right, this implies we add two to the x coordinate of A
For example, (x,y) becomes (x+2,y)
Therefore
[tex](5,4)\text{ becomes (7,4)}[/tex]
STEP 3
If we translate ABC by 4 units down, this implies we subtract 4 from the y coordinate of A
For example, (x,y) becomes (x,y-4)
Therefore
[tex](7,4)\text{ becomes(7,0)}[/tex]
STEP 4
If we rotate by 90 degrees clockwise this implies that we interchange the x coordinate with the y coordinate and attach a minus to the new y coordinate.
For example, (x,y) becomes (y,-x)
Therefore,
[tex](7,0)\text{ becomes (0,-7)}[/tex]
Therefore, the final location for A is (0,-7)
