Question

PLEASE HELP:

A) Draw the image of JKL after a 90° counterclockwise about the origin. Label the image J'K'L'


B) Draw the image of JKL after a reflection across the y-axis. Label the image J"K"l"

Answer 1

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.

Step-by-step 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,

`(x,y)\rightarrow (-y,x)`

`J(-4,1)\rightarrow J'(-1,-4)`

`K(-4,-2)\rightarrow K'(2,-4)`

`L(-3,-1)\rightarrow L'(1,-3)`

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,

`(x,y)\rightarrow (-x,y)`

`J(-4,1)\rightarrow J''(4,1)`

`K(-4,-2)\rightarrow K''(2,-4)`

`L(-3,-1)\rightarrow L''(3,-1)`

Therefore, the vertex of imare are J''(4,1), K''(2,-4) and L''(3,-1). The graph is shown in figure (2).