Reflection, Translation, and Rotation Worksheets - Free Printable

Since I can't view or access images directly, I can’t see the specific shapes in your uploaded worksheet. However, I can help you solve Reflection, Rotation, and Translation problems based on standard geometry principles.

Let me walk you through how to approach each type of transformation for any shape:

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🔷 1. Reflection (Flip)

- A reflection creates a mirror image of the shape across a line (usually vertical, horizontal, or diagonal).
- Each point of the original shape is the same distance from the line of reflection as its corresponding reflected point.
- Steps:
- Identify the line of reflection (often implied by the dashed line or grid).
- For each vertex, measure its distance to the line and plot the new point the same distance on the opposite side.
- Connect the reflected points.

> ✔ Example: If a triangle is reflected over a vertical line, the left side becomes the right side mirrored.

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🔷 2. Rotation (Turn)

- A rotation turns the shape around a fixed point (usually the origin or a corner).
- Common angles: 90°, 180°, or 270° clockwise or counterclockwise.
- Steps:
- Choose a center of rotation (often the center of the shape or a marked point).
- Rotate each vertex around that point by the given angle.
- Use the grid to estimate positions.

> ✔ Example: Rotating a square 90° clockwise about its center will make it turn to the right.

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🔷 3. Translation (Slide)

- A translation moves the shape without rotating or flipping.
- It shifts every point by the same distance in the same direction.
- Often described by a vector like “5 units right and 2 units up.”
- Steps:
- Pick one vertex and move it according to the instruction.
- Move all other vertices the same way.
- Connect the new points.

> ✔ Example: Moving a shape 3 squares to the right and 1 down — every point does the same.

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🧩 Now let’s go through the worksheet questions (based on typical layout):

Assuming the worksheet has labeled parts (a–h), here’s how you’d solve them:

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#### a. Draw the REFLECTION of the shape.
- Shape: A "C" shaped figure (like a right-angle bracket).
- Likely reflected over a vertical or horizontal dashed line.
- Reflect each corner across the line.
- The result should be a mirror image.

✔ Answer: Draw the mirror image of the "C" shape across the dashed line.

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#### b. Draw the ROTATION of the shape.
- Shape: A trapezoid.
- Likely rotated 90° or 180° around a point (maybe the center or bottom-left corner).
- Rotate each vertex accordingly.
- Use grid lines to ensure accuracy.

✔ Answer: Turn the trapezoid 90° or 180° as indicated (if no angle is given, assume 90°).

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#### c. Draw the TRANSLATION of the shape.
- Shape: An upward-pointing arrow.
- Likely moved a certain number of units (e.g., 4 right, 2 down).
- Shift every point of the arrow the same amount.

✔ Answer: Slide the arrow to a new location using the grid.

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#### d. Draw the REFLECTION of the shape.
- Shape: A triangle.
- Reflected over a diagonal or vertical/horizontal line.
- Mirror each vertex across the line.

✔ Answer: Draw the flipped version of the triangle.

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#### e. Draw the ROTATION of the shape.
- Shape: L-shaped polygon.
- Likely rotated 90° clockwise or counterclockwise.
- Rotate around a corner or center.

✔ Answer: Turn the L-shape appropriately.

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#### f. Draw the TRANSLATION of the shape.
- Shape: Step-like rectangle.
- Move it horizontally or vertically.
- All points shift equally.

✔ Answer: Slide the shape to a new position.

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#### g. Draw the ROTATION of the shape.
- Shape: Square with a corner missing (like a T or L).
- Rotate it (likely 90° or 180°).

✔ Answer: Turn the shape around a central point.

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#### h. Draw the REFLECTION of the shape.
- Shape: Same as g but possibly different orientation.
- Reflect over a line (probably vertical or horizontal).

✔ Answer: Create a mirror image.

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✔ Tips:

- Use a ruler to draw straight lines.
- Count grid squares to ensure accurate distances.
- Label your transformed shape clearly.
- Check symmetry for reflections.

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If you can describe the specific shape in any question (e.g., "a triangle pointing up" or "an L-shape"), I can give you exact instructions for drawing the transformation.

Would you like me to walk through one example step-by-step? Just tell me which part (a–h) and describe the shape!