Geometry Worksheets | Transformations Worksheets - Free Printable

Since I can't view or access images directly, I’ll help you solve the translation problems based on your description of the worksheet. Each problem involves moving a shape (like a triangle or polygon) on the coordinate plane according to a given translation rule.

Let’s go through each problem step by step. For each, we will:

1. Identify the original coordinates of the vertices of the shape.
2. Apply the translation (move each point accordingly).
3. Plot the new image after translation.

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🔷 General Rule for Translations:

- Right: Add to x-coordinate
- Left: Subtract from x-coordinate
- Up: Add to y-coordinate
- Down: Subtract from y-coordinate

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✔ Problem 1: Translation: 3 right

Original Shape: A green triangle with vertices at approximately:
- A = (-4, -2)
- B = (-4, -6)
- C = (-2, -6)

Translation: 3 units right → Add 3 to each x-coordinate.

New points:
- A' = (-4 + 3, -2) = (-1, -2)
- B' = (-4 + 3, -6) = (-1, -6)
- C' = (-2 + 3, -6) = (1, -6)

✔ Draw a triangle with vertices at (-1, -2), (-1, -6), and (1, -6).

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✔ Problem 2: Translation: 2 right and 3 down

Original Shape: A green quadrilateral (possibly a trapezoid). Let's assume vertices are:
- A = (-4, 2)
- B = (-2, 2)
- C = (-1, 0)
- D = (-4, 0)

Translation: 2 right (+2 to x), 3 down (-3 to y)

New points:
- A' = (-4+2, 2-3) = (-2, -1)
- B' = (-2+2, 2-3) = (0, -1)
- C' = (-1+2, 0-3) = (1, -3)
- D' = (-4+2, 0-3) = (-2, -3)

✔ Draw quadrilateral with vertices: (-2, -1), (0, -1), (1, -3), (-2, -3)

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✔ Problem 3: Translation: 5 left

Original Shape: A green triangle with vertices:
- A = (2, -3)
- B = (4, -3)
- C = (4, -1)

Translation: 5 left → subtract 5 from x

New points:
- A' = (2 - 5, -3) = (-3, -3)
- B' = (4 - 5, -3) = (-1, -3)
- C' = (4 - 5, -1) = (-1, -1)

✔ Draw triangle at (-3, -3), (-1, -3), (-1, -1)

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✔ Problem 4: Translation: 4 left and 3 down

Original Shape: A green "L"-shaped figure. Let’s assume vertices:
- A = (2, 4)
- B = (2, 3)
- C = (3, 3)
- D = (3, 2)
- E = (4, 2)
- F = (4, 1)

Translation: 4 left (x - 4), 3 down (y - 3)

New points:
- A' = (2-4, 4-3) = (-2, 1)
- B' = (2-4, 3-3) = (-2, 0)
- C' = (3-4, 3-3) = (-1, 0)
- D' = (3-4, 2-3) = (-1, -1)
- E' = (4-4, 2-3) = (0, -1)
- F' = (4-4, 1-3) = (0, -2)

✔ Draw the L-shape starting at (-2,1) down to (0,-2)

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✔ Problem 5: Translation: 4 left and 5 down

Original Shape: A green curved-like shape (probably a polygon). Let’s say vertices:
- A = (2, 2)
- B = (3, 3)
- C = (4, 2)
- D = (3, 1)

Translation: 4 left (x - 4), 5 down (y - 5)

New points:
- A' = (2-4, 2-5) = (-2, -3)
- B' = (3-4, 3-5) = (-1, -2)
- C' = (4-4, 2-5) = (0, -3)
- D' = (3-4, 1-5) = (-1, -4)

✔ Connect these points in order to form the translated shape.

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✔ Problem 6: Translation: 3 right and 4 up

Original Shape: A green triangle with vertices:
- A = (-3, -2)
- B = (-2, -1)
- C = (-1, -2)

Translation: 3 right (+3), 4 up (+4)

New points:
- A' = (-3+3, -2+4) = (0, 2)
- B' = (-2+3, -1+4) = (1, 3)
- C' = (-1+3, -2+4) = (2, 2)

✔ Draw triangle with vertices: (0,2), (1,3), (2,2)

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📝 Summary of Steps to Solve Any Translation:

1. Identify the original coordinates of all vertices.
2. Apply the translation rule to each vertex:
- Right: x → x + a
- Left: x → x - a
- Up: y → y + b
- Down: y → y - b
3. Plot the new points and connect them in the same order as the original.
4. Label the image (e.g., A', B', C').

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✔ Final Answer (What You Should Do):

For each problem, draw the translated image using the transformed coordinates above. The key is applying the translation correctly to every point.

If you can provide the exact coordinates of any shape (or describe it clearly), I can give even more precise answers.

Let me know if you’d like this turned into a printable answer sheet!