Point $Q$ was rotated by $-150^{\circ}$ (the center of rotation is indicated).
$Q$

Which point is the image of $Q$ ?
Choose 1 answer:
(A) $A$
(B) $B$
(C) $C$
(D) $D$

Question

Point $Q$ was rotated by $-150^{\circ}$ (the center of rotation is indicated).
$Q$

Which point is the image of $Q$ ?
Choose 1 answer:
(A) $A$
(B) $B$
(C) $C$
(D) $D$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the center of rotation and the initial position of point $Q$. ‖ ‖ step 2 ⋮ Determine the direction and magnitude of rotation. A $-150^\circ$ rotation is clockwise. ‖ ‖ step 3 ⋮ Apply the rotation to point $Q$ to find its image after a $-150^\circ$ rotation. ‖ ‖ step 4 ⋮ Compare the resulting position of the image of $Q$ with the positions of points $A$, $B$, $C$, and $D$ to determine which one matches. ‖ ***[Correct Answer Letter]*** ∻Key Concept∻ ⚹Rotation in the coordinate plane⚹ ∻Explanation∻ ⚹To solve rotation problems, it's important to understand the direction of rotation (clockwise or counterclockwise) and the angle of rotation. The image of a point after rotation can be determined by applying the rotation to the point's position relative to the center of rotation.⚹◊What is the formula to rotate a point in a coordinate plane by a certain angle⍭ Generate me a similar question◊

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