Translations of Shapes Worksheet - Maths Academy - Free Printable

Problem Description:

The task involves translating (moving) each shape on a grid by the specified amount. Translations are described in terms of movement along the horizontal (right/left) and vertical (up/down) axes. The goal is to apply these translations accurately to each shape.

Solution Approach:

1. Understand the Translation Directions:
- "Right" means moving horizontally to the right.
- "Left" means moving horizontally to the left.
- "Up" means moving vertically upwards.
- "Down" means moving vertically downwards.

2. Apply Each Translation:
- For each shape, count the number of units to move right/left and up/down as specified.
- Ensure the entire shape is moved uniformly in the given direction(s).

3. Verify the Result:
- After applying the translation, check that the shape is correctly positioned relative to its original location.

Step-by-Step Solution for Each Shape:

#### 1. 4 right and 2 up
- Original shape: Green square.
- Move 4 units to the right and 2 units up.
- Result: The green square is shifted 4 units right and 2 units up.

#### 2. 3 right and 4 down
- Original shape: Blue rectangle.
- Move 3 units to the right and 4 units down.
- Result: The blue rectangle is shifted 3 units right and 4 units down.

#### 3. 2 left and 3 up
- Original shape: Yellow rectangle.
- Move 2 units to the left and 3 units up.
- Result: The yellow rectangle is shifted 2 units left and 3 units up.

#### 4. 5 right and 4 down
- Original shape: Purple rectangle.
- Move 5 units to the right and 4 units down.
- Result: The purple rectangle is shifted 5 units right and 4 units down.

#### 5. 5 left and 4 up
- Original shape: Pink rectangle.
- Move 5 units to the left and 4 units up.
- Result: The pink rectangle is shifted 5 units left and 4 units up.

#### 6. 2 right and 4 down
- Original shape: Yellow square.
- Move 2 units to the right and 4 units down.
- Result: The yellow square is shifted 2 units right and 4 units down.

#### 7. 2 right and 2 up
- Original shape: Pink square.
- Move 2 units to the right and 2 units up.
- Result: The pink square is shifted 2 units right and 2 units up.

#### 8. 3 left and 3 up
- Original shape: Orange rectangle.
- Move 3 units to the left and 3 units up.
- Result: The orange rectangle is shifted 3 units left and 3 units up.

#### 9. 5 left and 5 down
- Original shape: Green rectangle.
- Move 5 units to the left and 5 units down.
- Result: The green rectangle is shifted 5 units left and 5 units down.

#### 10. 3 left and 2 up
- Original shape: Blue rectangle.
- Move 3 units to the left and 2 units up.
- Result: The blue rectangle is shifted 3 units left and 2 units up.

#### 11. 2 left and 6 up
- Original shape: Red rectangle.
- Move 2 units to the left and 6 units up.
- Result: The red rectangle is shifted 2 units left and 6 units up.

#### 12. 2 down and 5 left
- Original shape: Yellow rectangle.
- Move 2 units down and 5 units to the left.
- Result: The yellow rectangle is shifted 2 units down and 5 units left.

#### 13. 4 right and 2 down
- Original shape: Cyan rectangle.
- Move 4 units to the right and 2 units down.
- Result: The cyan rectangle is shifted 4 units right and 2 units down.

#### 14. 3 right and 4 up
- Original shape: Blue rectangle.
- Move 3 units to the right and 4 units up.
- Result: The blue rectangle is shifted 3 units right and 4 units up.

#### 15. 3 right and 4 down
- Original shape: Yellow rectangle.
- Move 3 units to the right and 4 units down.
- Result: The yellow rectangle is shifted 3 units right and 4 units down.

#### 16. 1 left and 5 up
- Original shape: Pink rectangle.
- Move 1 unit to the left and 5 units up.
- Result: The pink rectangle is shifted 1 unit left and 5 units up.

Final Answer:

Each shape has been translated according to the specified directions. The final positions of the shapes are as follows (described in terms of their movements):

\[
\boxed{
\begin{array}{cccc}
\text{1. 4 right, 2 up} & \text{2. 3 right, 4 down} & \text{3. 2 left, 3 up} & \text{4. 5 right, 4 down} \\
\text{5. 5 left, 4 up} & \text{6. 2 right, 4 down} & \text{7. 2 right, 2 up} & \text{8. 3 left, 3 up} \\
\text{9. 5 left, 5 down} & \text{10. 3 left, 2 up} & \text{11. 2 left, 6 up} & \text{12. 2 down, 5 left} \\
\text{13. 4 right, 2 down} & \text{14. 3 right, 4 up} & \text{15. 3 right, 4 down} & \text{16. 1 left, 5 up} \\
\end{array}
}
\]

Each shape's new position can be visually confirmed by applying the described translations on the grid.