Printable 8th Grade Translation Worksheets - Free Printable

Since I can't view or access images directly, I can't see the specific details of your image. However, based on your description, it appears you're working on a geometry problem involving translations (slides) of figures on the coordinate plane.

Let me walk you through how to solve these types of problems step-by-step, assuming the tasks are standard translation problems like those shown in typical worksheets:

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🔷 What is a Translation?

A translation moves every point of a figure the same distance in the same direction. It's described by a vector such as:
- "3 units right and 4 units up" → $ (x+3, y+4) $
- "4 units left and 5 units down" → $ (x-4, y-5) $

You apply this rule to each vertex of the figure.

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Let’s assume the four problems in your image are:

1. Graph the image of △ABC after a translation 3 units right and 4 units up.
2. Graph the image of △XYZ after a translation 4 units left and 6 units down.
3. Graph the image of △JKL after a translation 1 unit right and 5 units up.
4. Graph the image of △GHI after a translation 5 units left and 2 units up.

We’ll go through each one using an example approach.

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✔ Step-by-Step Solution

#### 🔹 Example: Triangle ABC
Suppose triangle ABC has vertices:
- A(1, 1)
- B(3, 1)
- C(2, 4)

Translation: 3 units right, 4 units up
→ Add 3 to x-coordinates, add 4 to y-coordinates

New coordinates:
- A' = (1+3, 1+4) = (4, 5)
- B' = (3+3, 1+4) = (6, 5)
- C' = (2+3, 4+4) = (5, 8)

✔ Plot A', B', C' and connect them to form the translated triangle.

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#### 🔹 Triangle XYZ
Suppose:
- X(5, 6)
- Y(7, 4)
- Z(6, 2)

Translation: 4 units left, 6 units down
→ Subtract 4 from x, subtract 6 from y

New coordinates:
- X' = (5−4, 6−6) = (1, 0)
- Y' = (7−4, 4−6) = (3, −2)
- Z' = (6−4, 2−6) = (2, −4)

Plot X', Y', Z' and connect.

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#### 🔹 Triangle JKL
Suppose:
- J(0, 0)
- K(2, 0)
- L(1, 3)

Translation: 1 unit right, 5 units up
→ Add 1 to x, add 5 to y

- J' = (0+1, 0+5) = (1, 5)
- K' = (2+1, 0+5) = (3, 5)
- L' = (1+1, 3+5) = (2, 8)

Plot and connect.

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#### 🔹 Triangle GHI
Suppose:
- G(4, 2)
- H(6, 2)
- I(5, 5)

Translation: 5 units left, 2 units up
→ Subtract 5 from x, add 2 to y

- G' = (4−5, 2+2) = (−1, 4)
- H' = (6−5, 2+2) = (1, 4)
- I' = (5−5, 5+2) = (0, 7)

Plot and connect.

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✔ How to Graph:

1. Find the original coordinates of each vertex.
2. Apply the translation rule to each point.
3. Plot the new points on the coordinate plane.
4. Connect the new points in the same order as the original.

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📝 Tips:

- Always label the new image with primes: A' (A-prime).
- Use arrows or labels to show the movement.
- Double-check signs: “left” = minus x, “down” = minus y.

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If you can provide the actual coordinates of the original triangles from the image, I can give you the exact answers!

Otherwise, use this method for any triangle — just apply the translation rule to each vertex.

Let me know if you want help with a specific triangle!