Question

1. rotation 90° counterclockwise about the origin

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.

Step2: Apply rule to point B

Suppose the coordinates of point B are $(x_1,y_1)$. After rotation, its new coordinates are $(-y_1,x_1)$.

Step3: Apply rule to point X

If the coordinates of point X are $(x_2,y_2)$, after rotation, its new coordinates are $(-y_2,x_2)$.

Step4: Apply rule to point N

If the coordinates of point N are $(x_3,y_3)$, after rotation, its new coordinates are $(-y_3,x_3)$.

Step5: Plot new points

Plot the new points obtained from the above - mentioned coordinate transformations to get the rotated triangle.

Answer:

The new triangle is formed by the points obtained by applying the $(x,y)\to(-y,x)$ transformation to the vertices of the original triangle.