Let’s solve each translation problem step by step.
A
translation means sliding a shape without rotating or flipping it. Every point of the shape moves the same distance in the same direction — usually described as “left/right” and “up/down”.
We’ll look at one key point from the original figure (like a vertex) and see where it ends up in the translated image. Then we can describe the whole movement.
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Problem 1:
Original triangle has a point at, say, (-3, 2).
Translated triangle has that same point now at (0, -1).
How did it move?
- From x = -3 to x = 0 → that’s +3 (right 3 units)
- From y = 2 to y = -1 → that’s -3 (down 3 units)
✔ Translation:
Right 3, Down 3
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Problem 2:
Pick a point on the original shape — let’s take the top-left corner at (-4, 5).
In the translated image, that point is now at (1, 2).
Move:
- x: -4 → 1 → +5 (right 5)
- y: 5 → 2 → -3 (down 3)
✔ Translation:
Right 5, Down 3
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Problem 3:
Original point: Let’s use the leftmost point at (-5, 1).
Translated point: Now at (-1, -3).
Move:
- x: -5 → -1 → +4 (right 4)
- y: 1 → -3 → -4 (down 4)
✔ Translation:
Right 4, Down 4
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Problem 4:
Original square has a corner at (-4, 4).
Translated square has that corner at (-1, 1).
Move:
- x: -4 → -1 → +3 (right 3)
- y: 4 → 1 → -3 (down 3)
✔ Translation:
Right 3, Down 3
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Problem 5:
Original rectangle has bottom-left corner at (-4, -4).
Translated rectangle has that corner at (0, -1).
Move:
- x: -4 → 0 → +4 (right 4)
- y: -4 → -1 → +3 (up 3)
✔ Translation:
Right 4, Up 3
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Problem 6:
Original pentagon has a point at (-5, -5).
Translated pentagon has that point at (-1, -2).
Move:
- x: -5 → -1 → +4 (right 4)
- y: -5 → -2 → +3 (up 3)
✔ Translation:
Right 4, Up 3
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Final Answer:
1. Right 3, Down 3
2. Right 5, Down 3
3. Right 4, Down 4
4. Right 3, Down 3
5. Right 4, Up 3
6. Right 4, Up 3
Parent Tip: Review the logic above to help your child master the concept of translation worksheet pdf.
