📐 Part 1: Understanding Translations

1. What is a translation in geometry? Circle the correct answer:

Turning a shape around a point

Flipping a shape over a line

Sliding a shape to a new position

Making a shape bigger or smaller

2. Which of these words describe a translation? Check all that apply:

Slide

Rotate

Move

Flip

Shift

3. Fill in the blanks using the words: translation, direction, distance, vector

A _____________ moves a shape by sliding it in a specific _____________ for a certain _____________. We can describe this movement using a _____________.

📊 Part 2: Describing Translations

4. Look at the grid below (imagine a coordinate grid). If a triangle moves from position (2,3) to position (5,3), describe the translation:

5. Match each translation description with its vector notation:

1. Move 4 units right, 2 units up

2. Move 3 units left, 1 unit down

3. Move 2 units right, 5 units down

4. Move 1 unit left, 3 units up

A. (-3, -1)

B. (4, 2)

C. (-1, 3)

D. (2, -5)

6. True or False: When a shape is translated, its size and shape stay exactly the same.

True

False

🎨 Part 3: Drawing Translations

7. Draw a simple triangle in the grid space below, then draw its translation 3 units to the right and 2 units up. Use different colours for the original and translated shapes:

8. Create your own shape and translate it. Draw both the original and translated shape, then describe your translation below:

My translation description: ________________________________________________

🧮 Part 4: Problem Solving

9. A rectangle has corners at points (1,1), (1,3), (4,3), and (4,1). If it's translated by the vector (2, -1), what are the new coordinates of each corner?

10. Sarah says "I translated my square 5 units right and 3 units down, then I rotated it 90 degrees." Did Sarah perform only a translation? Explain your answer:

11. Real-world connections: Give three examples of translations you might see in everyday life:

1. ________________________________________________________________

2. ________________________________________________________________

3. ________________________________________________________________

12. Challenge: If you translate a shape twice - first 3 units right and 2 units up, then 1 unit left and 4 units up - what single translation would give the same result?