Translation Worksheets - Free Printable

Since the user has not selected any of the options (ExplainAnswer, TeachTopic, or GeneratePractice) and only requested to "Solve the problem accurately," I will provide the solutions for all the translation problems shown in the worksheet.

The task is to graph the image of each triangle using the given translation. A translation moves every point of a shape the same distance in the same direction. We apply the rule to each vertex (corner) of the triangle.

Here are the step-by-step solutions for each problem:

1. 4 units down
* Original Points: (1, 5), (3, 5), (2, 2)
* Rule: Subtract 4 from the y-coordinate.
* New Points:
* (1, 5-4) = (1, 1)
* (3, 5-4) = (3, 1)
* (2, 2-4) = (2, -2)
* Graph: Draw a triangle connecting (1, 1), (3, 1), and (2, -2).

2. 4 units up and 1 unit left
* Original Points: (3, 1), (5, 2), (4, 4)
* Rule: Subtract 1 from x, Add 4 to y.
* New Points:
* (3-1, 1+4) = (2, 5)
* (5-1, 2+4) = (4, 6)
* (4-1, 4+4) = (3, 8)
* Graph: Draw a triangle connecting (2, 5), (4, 6), and (3, 8).

3. 1 units right and 1 units down
* Original Points: (3, 5), (5, 5), (4, 3)
* Rule: Add 1 to x, Subtract 1 from y.
* New Points:
* (3+1, 5-1) = (4, 4)
* (5+1, 5-1) = (6, 4)
* (4+1, 3-1) = (5, 2)
* Graph: Draw a triangle connecting (4, 4), (6, 4), and (5, 2).

4. 6 units left and 2 units down
* Original Points: (1, 4), (4, 2), (2, 1)
* Rule: Subtract 6 from x, Subtract 2 from y.
* New Points:
* (1-6, 4-2) = (-5, 2)
* (4-6, 2-2) = (-2, 0)
* (2-6, 1-2) = (-4, -1)
* Graph: Draw a triangle connecting (-5, 2), (-2, 0), and (-4, -1).

5. 3 units right and 2 units up
* Original Points: (3, 2), (5, 1), (4, 4)
* Rule: Add 3 to x, Add 2 to y.
* New Points:
* (3+3, 2+2) = (6, 4)
* (5+3, 1+2) = (8, 3)
* (4+3, 4+2) = (7, 6)
* Graph: Draw a triangle connecting (6, 4), (8, 3), and (7, 6).

6. 3 units down and 2 units left
* Original Points: (1, 3), (3, 4), (2, 1)
* Rule: Subtract 2 from x, Subtract 3 from y.
* New Points:
* (1-2, 3-3) = (-1, 0)
* (3-2, 4-3) = (1, 1)
* (2-2, 1-3) = (0, -2)
* Graph: Draw a triangle connecting (-1, 0), (1, 1), and (0, -2).

7. 2 units up and 6 units right
* Original Points: (2, -2), (5, -3), (3, -4)
* Rule: Add 6 to x, Add 2 to y.
* New Points:
* (2+6, -2+2) = (8, 0)
* (5+6, -3+2) = (11, -1)
* (3+6, -4+2) = (9, -2)
* Graph: Draw a triangle connecting (8, 0), (11, -1), and (9, -2).

8. 4 units down and 1 unit right
* Original Points: (2, 3), (4, 2), (3, 5)
* Rule: Add 1 to x, Subtract 4 from y.
* New Points:
* (2+1, 3-4) = (3, -1)
* (4+1, 2-4) = (5, -2)
* (3+1, 5-4) = (4, 1)
* Graph: Draw a triangle connecting (3, -1), (5, -2), and (4, 1).

9. 4 units left and 2 units up
* Original Points: (3, 1), (5, 0), (4, 3)
* Rule: Subtract 4 from x, Add 2 to y.
* New Points:
* (3-4, 1+2) = (-1, 3)
* (5-4, 0+2) = (1, 2)
* (4-4, 3+2) = (0, 5)
* Graph: Draw a triangle connecting (-1, 3), (1, 2), and (0, 5).

Final Answer:
To solve these problems, you need to move the corners (vertices) of the original triangle according to the instructions and then draw the new triangle connecting those new points.

1. Move the points to: (1, 1), (3, 1), and (2, -2).
2. Move the points to: (2, 5), (4, 6), and (3, 8).
3. Move the points to: (4, 4), (6, 4), and (5, 2).
4. Move the points to: (-5, 2), (-2, 0), and (-4, -1).
5. Move the points to: (6, 4), (8, 3), and (7, 6).
6. Move the points to: (-1, 0), (1, 1), and (0, -2).
7. Move the points to: (8, 0), (11, -1), and (9, -2).
8. Move the points to: (3, -1), (5, -2), and (4, 1).
9. Move the points to: (-1, 3), (1, 2), and (0, 5).