Question

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

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin 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

The new vertices after 90 - degree clockwise rotation will be $(y_1,-x_1),(y_2,-x_2),(y_3,-x_3)$.

Step4: Plot new triangle

Plot the new vertices on the coordinate - plane and connect them to form the rotated triangle.

Answer:

Draw the triangle with vertices obtained by applying the $(x,y)\to(y, - x)$ rule to the original triangle's vertices.