draw the following triangle after a 90° clockwise rotation about the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Identify triangle vertices

Let the vertices of the original triangle be $(x_1,y_1),(x_2,y_2),(x_3,y_3)$.

Step3: Apply rotation rule

Find the new vertices $(y_1,-x_1),(y_2,-x_2),(y_3,-x_3)$.

Step4: Plot new triangle

Use the new - found vertices to draw the rotated triangle on the coordinate plane.

Since no specific vertex coordinates are given in the problem for numerical calculation, the general steps for performing a 90 - degree clockwise rotation about the origin are as above. To actually draw the triangle, one would need to identify the vertices of the original triangle, apply the $(x,y)\to(y, - x)$ transformation rule to each vertex, and then connect the new vertices to form the rotated triangle.