Translation of 3 Vertices up to 3 Units (A) - Free Printable

Problem: Translation of Shapes

The task is to graph the image of each shape using the given translation instructions. Each translation involves moving the shape horizontally (left or right) and/or vertically (up or down) by a specified number of units.

#### Translation Rules Recap:
- Moving right increases the \( x \)-coordinate.
- Moving left decreases the \( x \)-coordinate.
- Moving up increases the \( y \)-coordinate.
- Moving down decreases the \( y \)-coordinate.

We will solve each problem step by step.

---

Problem 1:

Translation: 5 units down and 4 units right
Shape: Rectangle

1. Identify the coordinates of the vertices of the rectangle.
2. Apply the translation:
- Move each vertex 4 units right (\( x \to x + 4 \)).
- Move each vertex 5 units down (\( y \to y - 5 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x + 4, y - 5)\).

#### Graphing:
- Translate all vertices accordingly and redraw the rectangle.

---

Problem 2:

Translation: 2 units left and 6 units down
Shape: L-shaped figure

1. Identify the coordinates of the vertices of the L-shaped figure.
2. Apply the translation:
- Move each vertex 2 units left (\( x \to x - 2 \)).
- Move each vertex 6 units down (\( y \to y - 6 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x - 2, y - 6)\).

#### Graphing:
- Translate all vertices accordingly and redraw the L-shaped figure.

---

Problem 3:

Translation: 7 units left
Shape: Triangle

1. Identify the coordinates of the vertices of the triangle.
2. Apply the translation:
- Move each vertex 7 units left (\( x \to x - 7 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x - 7, y)\).

#### Graphing:
- Translate all vertices accordingly and redraw the triangle.

---

Problem 4:

Translation: 2 units left and 3 units up
Shape: Right triangle

1. Identify the coordinates of the vertices of the right triangle.
2. Apply the translation:
- Move each vertex 2 units left (\( x \to x - 2 \)).
- Move each vertex 3 units up (\( y \to y + 3 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x - 2, y + 3)\).

#### Graphing:
- Translate all vertices accordingly and redraw the right triangle.

---

Problem 5:

Translation: 6 units up and 8 units right
Shape: Square

1. Identify the coordinates of the vertices of the square.
2. Apply the translation:
- Move each vertex 8 units right (\( x \to x + 8 \)).
- Move each vertex 6 units up (\( y \to y + 6 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x + 8, y + 6)\).

#### Graphing:
- Translate all vertices accordingly and redraw the square.

---

Problem 6:

Translation: 1 unit right and 5 units up
Shape: Isosceles triangle

1. Identify the coordinates of the vertices of the isosceles triangle.
2. Apply the translation:
- Move each vertex 1 unit right (\( x \to x + 1 \)).
- Move each vertex 5 units up (\( y \to y + 5 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x + 1, y + 5)\).

#### Graphing:
- Translate all vertices accordingly and redraw the isosceles triangle.

---

Problem 7:

Translation: 3 units up and 1 unit left
Shape: Trapezoid

1. Identify the coordinates of the vertices of the trapezoid.
2. Apply the translation:
- Move each vertex 1 unit left (\( x \to x - 1 \)).
- Move each vertex 3 units up (\( y \to y + 3 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x - 1, y + 3)\).

#### Graphing:
- Translate all vertices accordingly and redraw the trapezoid.

---

Problem 8:

Translation: 5 units down
Shape: Rectangle

1. Identify the coordinates of the vertices of the rectangle.
2. Apply the translation:
- Move each vertex 5 units down (\( y \to y - 5 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x, y - 5)\).

#### Graphing:
- Translate all vertices accordingly and redraw the rectangle.

---

Problem 9:

Translation: 2 units down and 4 units left
Shape: Cross

1. Identify the coordinates of the vertices of the cross.
2. Apply the translation:
- Move each vertex 4 units left (\( x \to x - 4 \)).
- Move each vertex 2 units down (\( y \to y - 2 \)).

#### Example Calculation:
- Suppose one vertex is at \((x, y)\).
- After translation: \((x - 4, y - 2)\).

#### Graphing:
- Translate all vertices accordingly and redraw the cross.

---

Final Answer:

Each shape must be translated according to the given instructions. The exact coordinates of the new vertices depend on the original coordinates of the shapes, which are not provided in the problem statement. However, the process for each translation is clear and consistent.

\[
\boxed{\text{Follow the translation rules for each shape as described above.}}
\]