It looks like you've uploaded a worksheet titled
"Translations of Shapes" that involves moving geometric shapes on a coordinate grid using specific translation rules (e.g., "move right 4 and up 2"). Since I can't view images directly, I’ll guide you through how to solve these types of problems step by step, assuming the worksheet contains typical translation exercises.
---
🔍 What Is a Translation?
A
translation is a type of transformation that moves every point of a shape the same distance in the same direction. It does
not change the size or orientation of the shape — only its position.
The rule for translation is usually given as:
> Move
x units horizontally and
y units vertically
- Right = positive x
- Left = negative x
- Up = positive y
- Down = negative y
For example:
“Move 3 right and 2 up” means:
→ Add 3 to each x-coordinate
→ Add 2 to each y-coordinate
---
✔ How to Solve Each Problem:
Let’s assume each problem gives a shape (like a triangle or rectangle) plotted on a coordinate grid and asks you to translate it according to a rule.
#### Step-by-step Solution Process:
1.
Identify the vertices of the original shape.
- For example, if it's a triangle with points A(1,1), B(3,1), C(2,3)
2.
Apply the translation rule to each vertex:
- Example: “Move 4 right and 1 up”
- New x = old x + 4
- New y = old y + 1
- So:
- A(1,1) → A'(5,2)
- B(3,1) → B'(7,2)
- C(2,3) → C'(6,4)
3.
Plot the new points on the grid and connect them to form the translated shape.
4.
Label the new shape (often with primes, e.g., A'B'C').
---
🧩 Let’s Work Through an Example (Hypothetical):
Suppose one problem says:
> "Translate the triangle 3 units left and 2 units down."
Original triangle has points:
- P(4,5), Q(6,3), R(5,1)
Translation:
- Left 3 → subtract 3 from x
- Down 2 → subtract 2 from y
New coordinates:
- P'(4−3, 5−2) = P'(1,3)
- Q'(6−3, 3−2) = Q'(3,1)
- R'(5−3, 1−2) = R'(2,−1)
Now plot P', Q', R' on the grid and draw the new triangle.
---
💡 Tips for Accuracy:
- Always apply the translation to
all vertices.
- Double-check signs: left/down are negative.
- Use tracing paper or lightly sketch to avoid mistakes.
- Label clearly.
---
📝 Final Answer Format (for each question):
After translating, write the new coordinates and draw the image on the grid.
Example answer:
> Original: A(2,3), B(4,3), C(3,5)
> After moving 4 right and 1 up:
> A'(6,4), B'(8,4), C'(7,6)
> [Draw the new triangle at those points]
---
If you can describe one of the problems from the worksheet (e.g., what shape, starting points, and translation rule), I can help solve it exactly!
Alternatively, if you'd like me to generate a completed version of this worksheet based on common examples, let me know!
Parent Tip: Review the logic above to help your child master the concept of translations on a coordinate plane worksheet.
