Practice translating shapes on a grid with this worksheet featuring six problems involving squares, rectangles, and triangles.

Problem Description:

The task involves translating (moving) geometric shapes on a grid according to specific instructions. Each instruction specifies how many places to move the shape horizontally (left or right) and vertically (up or down). The goal is to apply these translations accurately.

Solution Approach:

1. Understand the Translation Instructions:
- "4 places left" means moving the shape 4 units to the left.
- "3 places up" means moving the shape 3 units upward.
- Similarly, "right" indicates movement to the right, and "down" indicates movement downward.

2. Apply Translations Step-by-Step:
- Identify the initial position of each shape on the grid.
- Follow the given translation instructions for each part (a) through (f).
- Plot the new position of the shape after applying the translation.

3. Verify the Results:
- Ensure that the number of units moved matches the instructions.
- Double-check the direction (left/right, up/down).

Detailed Solutions:

#### (a) 4 places left
- Initial Shape: A rectangle located at a specific position on the grid.
- Translation: Move the rectangle 4 units to the left.
- Result: The rectangle is shifted entirely 4 units to the left, maintaining its orientation and size.

#### (b) 3 places up, 5 places left
- Initial Shape: Another rectangle.
- Translation:
- First, move the rectangle 5 units to the left.
- Then, move it 3 units upward.
- Result: The rectangle is shifted 5 units left and 3 units up.

#### (c) 4 places left, 4 places up
- Initial Shape: A square.
- Translation:
- Move the square 4 units to the left.
- Then, move it 4 units upward.
- Result: The square is shifted 4 units left and 4 units up.

#### (d) 5 places up, 3 places right
- Initial Shape: A rectangle.
- Translation:
- Move the rectangle 3 units to the right.
- Then, move it 5 units upward.
- Result: The rectangle is shifted 3 units right and 5 units up.

#### (e) 1 place right, 3 places down
- Initial Shape: A triangle.
- Translation:
- Move the triangle 1 unit to the right.
- Then, move it 3 units downward.
- Result: The triangle is shifted 1 unit right and 3 units down.

#### (f) 6 places up, 2 places right
- Initial Shape: A triangle.
- Translation:
- Move the triangle 2 units to the right.
- Then, move it 6 units upward.
- Result: The triangle is shifted 2 units right and 6 units up.

Final Answer:

The shapes have been translated as follows:
- (a): 4 places left
- (b): 3 places up, 5 places left
- (c): 4 places left, 4 places up
- (d): 5 places up, 3 places right
- (e): 1 place right, 3 places down
- (f): 6 places up, 2 places right

Each shape's new position on the grid reflects these translations.

$$
\boxed{\text{Shapes translated as per instructions}}
$$