It looks like you've uploaded an image of a "Rotations Scavenger Hunt" activity, which is a classroom-based math exercise focused on geometric rotations. While the full content of both cards isn't completely visible, I can help solve and explain the problems based on what's shown.
Let’s analyze the two visible parts:
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Card K:
- Point given:
K (-2, -4)
- Question (partial): *"How many degrees clockwise has it been rotated if Q is (9, -2)?"*
But we don’t have enough information here to determine the rotation without knowing the original position of point Q or the center of rotation. However, this likely involves comparing a pre-image and image point to determine the degree of rotation (e.g., 90°, 180°, 270°) around the origin or another point.
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Card A:
- Point given:
A (-8, -2)
- Question: *"What is B when rotated 90° clockwise?"*
We are asked to find the coordinates of point
B after a
90° clockwise rotation, but we need to know the original coordinates of
B.
Looking at the graph:
- There's a triangle with points labeled A, B, and another unlabeled vertex.
- From the graph:
- Point
A is at
(-8, -2).
- Point
B appears to be at
(0, 8) — this is inferred from the grid (x = 0, y = 8).
Now, let's
rotate point B (0, 8) 90° clockwise about the
origin (assuming standard rotation unless otherwise stated).
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🔁 Rotation Rule: 90° Clockwise about the Origin
The rule for rotating a point
(x, y) 90° clockwise is:
>
(x, y) → (y, -x)
Apply this to point
B (0, 8):
- x = 0
- y = 8
- New coordinates: (8, -0) =
(8, 0)
✔ So,
B rotated 90° clockwise becomes (8, 0).
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✔ Final Answer for Card A:
>
B rotated 90° clockwise is (8, 0).
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📌 Explanation:
- Rotations follow specific rules depending on direction and angle.
- For
90° clockwise: (x, y) → (y, -x)
- For
90° counterclockwise: (x, y) → (-y, x)
- For
180°: (x, y) → (-x, -y)
- For
270° clockwise: (x, y) → (-y, x)
Since this is a scavenger hunt, each card likely leads to the next by solving the rotation and matching answers.
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If you can provide more details (like the original coordinates of B or the full question on Card K), I can help solve that too!
Parent Tip: Review the logic above to help your child master the concept of geometry scavenger hunt worksheet.
