To solve the translation problems shown in the image, we need to determine how each shape has been translated (moved) from its original position to its new position. Translation involves moving a shape horizontally and/or vertically without rotating or reflecting it.
Steps to Solve:
1.
Identify the Original Shape and Translated Shape: For each pair of shapes, identify which one is the original and which one is the translated version.
2.
Determine Horizontal Movement: Count how many units the shape has moved left or right.
- Moving to the right is a positive horizontal movement.
- Moving to the left is a negative horizontal movement.
3.
Determine Vertical Movement: Count how many units the shape has moved up or down.
- Moving up is a positive vertical movement.
- Moving down is a negative vertical movement.
4.
Combine the Movements: Write the translation as an ordered pair \((x, y)\), where \(x\) represents the horizontal movement and \(y\) represents the vertical movement.
Solution for Each Problem:
#### (a)
-
Original Shape: The square in the top-left corner.
-
Translated Shape: The square in the bottom-right corner.
-
Horizontal Movement: The square moves 3 units to the right.
-
Vertical Movement: The square moves 2 units down.
-
Translation: \((+3, -2)\)
#### (b)
-
Original Shape: The triangle in the top-left corner.
-
Translated Shape: The triangle in the bottom-right corner.
-
Horizontal Movement: The triangle moves 2 units to the right.
-
Vertical Movement: The triangle moves 3 units down.
-
Translation: \((+2, -3)\)
#### (c)
-
Original Shape: The parallelogram in the top-left corner.
-
Translated Shape: The parallelogram in the bottom-right corner.
-
Horizontal Movement: The parallelogram moves 4 units to the right.
-
Vertical Movement: The parallelogram moves 1 unit down.
-
Translation: \((+4, -1)\)
#### (d)
-
Original Shape: The pentagon in the top-left corner.
-
Translated Shape: The pentagon in the bottom-right corner.
-
Horizontal Movement: The pentagon moves 1 unit to the right.
-
Vertical Movement: The pentagon moves 4 units down.
-
Translation: \((+1, -4)\)
Final Answer:
\[
\boxed{(a) (+3, -2), (b) (+2, -3), (c) (+4, -1), (d) (+1, -4)}
\]
Parent Tip: Review the logic above to help your child master the concept of translations worksheet answer key.
