Question

select the correct answer. a figure in the first quadrant is rotated 180° counterclockwise about the origin. in which quadrant will the rotated figure appear? a. first quadrant b. second quadrant c. third quadrant d. fourth quadrant

Explanation:

Step1: Recall 180° rotation rule

A 180° rotation (clockwise/counterclockwise) about origin transforms point $(x,y)$ to $(-x,-y)$.

Step2: First quadrant point property

First quadrant points have $(+,+)$ coordinates.

Step3: Apply rotation to coordinates

$(+x,+y) \to (-x,-y)$ after rotation.

Step4: Identify quadrant of result

$(-x,-y)$ corresponds to third quadrant.

Answer:

C. third quadrant