Answer: (A) The image of JKL after a 90° counterclockwise about the origin is shown in figure 1. (B) The image of JKL after a reflection across the y-axis is shown in figure 2.
Explanation:
(A)
From the given figure it is noticed that the coordinate points are J(-4,1), K(-4,-2) and L(-3,-1).
If a shape rotate 90 degree counterclockwise about the origin, then,
[tex](x,y)\rightarrow (-y,x)[/tex]
[tex]J(-4,1)\rightarrow J'(-1,-4)[/tex]
[tex]K(-4,-2)\rightarrow K'(2,-4)[/tex]
[tex]L(-3,-1)\rightarrow L'(1,-3)[/tex]
Therefore, the vertex of imare are J'(-1,-4), K'(2,-4) and L'(1,-3). The graph is shown in figure (1).
(B)
If a figure reflect across the y-axis then,
[tex](x,y)\rightarrow (-x,y)[/tex]
[tex]J(-4,1)\rightarrow J''(4,1)[/tex]
[tex]K(-4,-2)\rightarrow K''(2,-4)[/tex]
[tex]L(-3,-1)\rightarrow L''(3,-1)[/tex]
Therefore, the vertex of imare are J''(4,1), K''(2,-4) and L''(3,-1). The graph is shown in figure (2).
