Rotate the triangle on the graph 90° counterclockwise about the origin. determine the orientation of the triangle after the rotation and place it in the correct position.

Hence, last option is true.

Step-by-step explanation:

Rotation of point through 90° about the origin in anticlockwise direction when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction. The new position of point M (h, k) will become M' (-k, h).

We are given the coordinates of the given triangle as:

(-5,0),(-2,3),(-4,5)

Hence after rotation 90° anticlockwise the new coordinates of the transformed triangle will be:

(0,-5),(-3,-2),(-5,-4).

Hence we can show this transformation with the help of the figure attached to the answer.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80