It looks like you've uploaded a worksheet titled
"Translations of a Point" that involves moving points on a coordinate grid according to specific instructions (e.g., "move right 3 units, up 2 units"). Since I can't view images directly, I’ll help you solve this type of problem step by step and explain how to approach each question.
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🔍 Understanding the Task
Each problem asks you to:
1. Identify the original coordinates of a point (usually marked as a dot) on the grid.
2. Apply a translation (a movement in the x- and y-directions).
3. Plot the new location of the point after the translation.
The general rule for translations:
-
Right: Add to the x-coordinate
-
Left: Subtract from the x-coordinate
-
Up: Add to the y-coordinate
-
Down: Subtract from the y-coordinate
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🧩 Example Problem (Typical Format)
Let’s say one problem says:
>
Move the point 4 units right and 2 units up
And the original point is at
(1, 3).
#### Step-by-step:
1. Original point: (1, 3)
2. Move
4 units right → x increases by 4 → 1 + 4 =
5
3. Move
2 units up → y increases by 2 → 3 + 2 =
5
4. New point:
(5, 5)
You would then plot this new point on the grid.
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✔ General Strategy for All Problems
For any translation:
- Start with the original coordinates.
- Apply the horizontal change (left/right).
- Apply the vertical change (up/down).
- Write the new coordinates.
- Mark the new point on the grid.
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💡 Tips:
- Use the grid lines carefully.
- Count squares to ensure accuracy.
- Remember:
x comes first, then
y — (x, y).
- Positive x = right; negative x = left.
- Positive y = up; negative y = down.
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📌 Example Answers (Hypothetical)
Assume the following problems are on your sheet:
1.
Original point: (2, 1)
→ Move 3 right, 1 up
→ (2+3, 1+1) =
(5, 2)
2.
Original point: (-1, 4)
→ Move 2 left, 3 down
→ (-1−2, 4−3) =
(-3, 1)
3.
Original point: (0, -2)
→ Move 4 right, 5 up
→ (0+4, -2+5) =
(4, 3)
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If you can describe or list the specific problems (like the starting coordinates and translation directions), I can give you exact answers!
Alternatively, if you can type out the instructions for each box (e.g., “Move 2 right and 1 up”), I’ll walk you through each one.
Let me know how you'd like to proceed!
Parent Tip: Review the logic above to help your child master the concept of translations on a coordinate plane worksheet.