Question

Math

Posted 3 months ago

```
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) $D$
```

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Answer from Sia

Posted 3 months ago

Solution by Steps

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.

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