📐 Part 1: Understanding Translations

1. What is a translation in geometry? Circle the best 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

Move

Rotate

Shift

Flip

3. When you translate a shape, what stays the same? Circle the correct answer:

Only the position

The size, shape, and orientation

Only the colour

Nothing stays the same

🎯 Part 2: Describing Translations

4. Complete the sentences using the words in the box:

Word Bank: right, up, left, down, units, vector, translation

A _____________ moves a shape from one position to another. The direction and distance of movement can be described using a _____________. If a shape moves 3 _____________ to the _____________ and 2 units _____________, we can write this as (3, 2).

5. Match the translation descriptions with their vector notation:

1. Move 4 units right, 1 unit up

2. Move 2 units left, 3 units down

3. Move 5 units right, 2 units down

4. Move 1 unit left, 4 units up

A. (-1, 4)

B. (5, -2)

C. (4, 1)

D. (-2, -3)

📊 Part 3: Grid Work

6. Draw the original triangle on the grid below, then translate it 3 units right and 2 units up. Draw the translated triangle in a different colour.

7. Create your own shape on the grid and translate it using the vector (-2, 3). Show both the original and translated shapes.

8. Describe the translation that moves Shape A to Shape B:

The shape moves _______ units to the _______ and _______ units _______.

Vector notation: ( _____ , _____ )

🧠 Part 4: Problem Solving

9. A rectangle has vertices at (1, 2), (4, 2), (4, 5), and (1, 5). If it is translated by the vector (3, -1), what are the new coordinates of the vertices?

10. Explain in your own words what happens to a shape when it is translated. Use at least three vocabulary words from today's lesson.

11. True or False? Circle your answers:

True

False - A translation changes the size of a shape

True

False - A translation can move a shape diagonally

True

False - The translated shape is congruent to the original

True

False - A vector shows direction and distance