Question

draw the following segment 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 segment endpoints

Suppose the endpoints of the given segment are $(x_1,y_1)$ and $(x_2,y_2)$.

Step3: Apply rotation rule

The new endpoints will be $(y_1,-x_1)$ and $(y_2,-x_2)$.

Step4: Plot new segment

Use the new endpoints to draw the rotated segment on the coordinate - plane.

Since the original segment endpoints are not given numerically, we can't provide specific numerical coordinates for the answer. But the general process is as above for drawing the rotated segment.

Answer:

Step1: Recall rotation rule

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

Step2: Identify segment endpoints

Suppose the endpoints of the given segment are $(x_1,y_1)$ and $(x_2,y_2)$.

Step3: Apply rotation rule

The new endpoints will be $(y_1,-x_1)$ and $(y_2,-x_2)$.

Step4: Plot new segment

Use the new endpoints to draw the rotated segment on the coordinate - plane.

Since the original segment endpoints are not given numerically, we can't provide specific numerical coordinates for the answer. But the general process is as above for drawing the rotated segment.