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Combined Transformations Practice

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Combined Transformations Practice

Geometric shapes showing transformations

🎯 WALT (We Are Learning To)

• Combine multiple transformations

• Describe the resulting position of points after combined transformations

• Use mathematical language accurately to explain transformations

📚 Part 1: Identifying Combined Transformations

1. A triangle is first translated 3 units right, then reflected over the x-axis. What type of transformation is this?

Single transformation

Combined transformation

No transformation

2. Which of these are examples of combined transformations? (Check all that apply)

Rotate 90° then translate 2 units up

Only reflect over y-axis

Translate left 4 units then rotate 180°

Reflect then translate then rotate

3. Point A is at (2, 3). After a translation of 4 units left and 1 unit down, followed by a reflection over the x-axis, where is the final position?

(-2, 2)

(-2, -2)

(2, -2)

(6, 4)

4. Complete the sequence: First transformation: _____________, Second transformation: _____________

Hint: A shape moves 5 units right, then turns 90° clockwise around the origin.

✏️ Part 2: Describing Transformations

5. Describe what happens to point B(1, 4) after these combined transformations:

Step 1: Reflect over the y-axis

Step 2: Translate 3 units up

After Step 1, point B is at: ( ____ , ____ )

After Step 2, point B is at: ( ____ , ____ )

6. Using mathematical language, explain the difference between doing a rotation first then a translation, versus doing a translation first then a rotation.
7. Design your own combined transformation sequence and describe it step by step:

Starting point: C(0, 2)

Your transformation sequence:

Final position: ( ____ , ____ )

8. Draw and label your transformation from Question 7 in the space below:

⭐ Success Criteria Check

Tick the boxes when you can do these:

I can identify and perform two or more combined transformations on shapes

I can describe the final position of points using correct mathematical terms

I can explain the effect of combined transformations in my own words

I can work with others to explain my reasoning

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