Worksheet for practicing geometric translations on a coordinate plane.

I'll solve each translation problem step by step.

## Problem 1 (Top Left)
Original shape: Triangle with vertices that appear to be at approximately (2, 0), (3, 4), and (4, 6)

Translation 1: Translate by (1, -3)
- Add 1 to x-coordinate, subtract 3 from y-coordinate
- (2, 0) → (3, -3)
- (3, 4) → (4, 1)
- (4, 6) → (5, 3)

Translation 2: Translate by (2, -6)
- Add 2 to x-coordinate, subtract 6 from y-coordinate
- (2, 0) → (4, -6)
- (3, 4) → (5, -2)
- (4, 6) → (6, 0)

## Problem 2 (Top Right)
Original shape: Triangle with vertices at approximately (-2, 1), (2, 3), and (1, -2)

Translation 1: Translate by (6, 6)
- Add 6 to x-coordinate, add 6 to y-coordinate
- (-2, 1) → (4, 7)
- (2, 3) → (8, 9)
- (1, -2) → (7, 4)

Translation 2: Translate by (-5, -2)
- Subtract 5 from x-coordinate, subtract 2 from y-coordinate
- (-2, 1) → (-7, -1)
- (2, 3) → (-3, 1)
- (1, -2) → (-4, -4)

## Problem 3 (Bottom Left)
Original shape: Quadrilateral with vertices at approximately (-3, -2), (-1, -1), (0, 1), and (-2, 0)

Translation 1: Translate by (2, 5)
- Add 2 to x-coordinate, add 5 to y-coordinate
- (-3, -2) → (-1, 3)
- (-1, -1) → (1, 4)
- (0, 1) → (2, 6)
- (-2, 0) → (0, 5)

Translation 2: Translate by (1, 3)
- Add 1 to x-coordinate, add 3 to y-coordinate
- (-3, -2) → (-2, 1)
- (-1, -1) → (0, 2)
- (0, 1) → (1, 4)
- (-2, 0) → (-1, 3)

## Problem 4 (Bottom Right)
Original shape: Triangle with vertices at approximately (-2, -3), (1, 0), and (-1, 2)

Translation 1: Translate by (-1, 2)
- Subtract 1 from x-coordinate, add 2 to y-coordinate
- (-2, -3) → (-3, -1)
- (1, 0) → (0, 2)
- (-1, 2) → (-2, 4)

Translation 2: Translate by (6, -1)
- Add 6 to x-coordinate, subtract 1 from y-coordinate
- (-2, -3) → (4, -4)
- (1, 0) → (7, -1)
- (-1, 2) → (5, 1)

Final Answer:
For each problem, you need to draw two translated versions of the original shape on the coordinate grid:

Problem 1: Draw the triangle shifted right 1 unit and down 3 units for the first translation, then shift the original right 2 units and down 6 units for the second translation.

Problem 2: Draw the triangle shifted right 6 units and up 6 units for the first translation, then shift the original left 5 units and down 2 units for the second translation.

Problem 3: Draw the quadrilateral shifted right 2 units and up 5 units for the first translation, then shift the original right 1 unit and up 3 units for the second translation.

Problem 4: Draw the triangle shifted left 1 unit and up 2 units for the first translation, then shift the original right 6 units and down 1 unit for the second translation.