Question

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Answer 1

Given coordinates of the triangle: J(-4,1), K(-4,-2) and L(-3,-1).

We are given that image is rotated 90° counterclockwise about the origin.

In order to find the new coordinates of rotation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).

Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.

In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

On applying rule (h, k) ---> (-k,h), we get

J(-4,1) --> J'(-1,-4).

K(-4,-2) --> K'(2,-4).

L(-3,-1). --> L'(1,-3).

Blue image is rotation of 90°counterclockwise about the origin.

2) Rule for reflection about y-axis would be (h, k) ---> (-h,k).

On applying rule (h, k) ---> (-h,k), we get

J(-4,1) --> J'(4,1)

K(-4,-2) --> K'(4,-2).

L(-3,-1). --> L'(3,-1).

Red image is reflection across the y-axis.