Question

point p was rotated about the origin (0,0) by -15°.
which point is the image of p?
choose 1 answer:
a a
b b
c c
d d

Explanation:

Step1: Understand Rotation Direction

A rotation of \(-15^\circ\) about the origin means a clockwise rotation of \(15^\circ\) (since negative angles indicate clockwise rotation in standard position).

Step2: Analyze Point P's Position

Point \(P\) is at some coordinate (visually, we can see its position relative to the origin and other points). We need to see which point is reached by rotating \(P\) clockwise by \(15^\circ\).

• Point \(A\): Let's check the angle and distance from origin. Rotating \(P\) clockwise (negative rotation) should move it towards a point with a slight clockwise shift.
• Point \(B\): By visual inspection and understanding of clockwise rotation (negative angle), the image of \(P\) after \(-15^\circ\) rotation (clockwise \(15^\circ\)) aligns with point \(B\) in terms of the angle and distance from the origin. (We can also consider the direction: clockwise rotation from \(P\)'s original angle would lead to \(B\) as the image, as other points like \(A\) is more left, \(C\) is more right/up, \(D\) is up, but \(B\) is the one that fits a small clockwise rotation.)

Answer:

B. \(B\)