Coordinate Grid Reflections

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📍 Part 1: Understanding Reflections

1. When a point (3, 2) is reflected over the x-axis, what are its new coordinates?

(3, -2)

(-3, 2)

(-3, -2)

(2, 3)

2. When a point (-4, 5) is reflected over the y-axis, what are its new coordinates?

(-4, -5)

(4, 5)

(4, -5)

(5, -4)

3. Which properties are true about reflections? Check all that apply:

The reflected shape is congruent to the original

The reflected shape changes size

The distance from each point to the line of reflection stays the same

The reflected shape is always smaller

4. Complete the rule: When reflecting over the x-axis, (x, y) becomes ________.

5. Complete the rule: When reflecting over the y-axis, (x, y) becomes ________.

📊 Part 2: Coordinate Practice

6. Triangle ABC has vertices at A(2, 3), B(4, 1), and C(1, 1). Reflect the triangle over the x-axis and write the new coordinates:

A' = _______ B' = _______ C' = _______

7. Square PQRS has vertices at P(-3, 2), Q(-1, 2), R(-1, 4), and S(-3, 4). Reflect the square over the y-axis and write the new coordinates:

P' = _______ Q' = _______ R' = _______ S' = _______

8. Use the coordinate grid below to plot and reflect the given shape:

Instructions: Plot triangle with vertices at D(1, 2), E(3, 4), and F(2, 1). Then reflect it over the y-axis and label the new triangle D'E'F'.

🎯 Part 3: Problem Solving

9. A point is located at (5, -3). After two reflections (first over the x-axis, then over the y-axis), where is the point located? Show your work:

10. Explain why reflected shapes are always congruent to the original shape. Use complete sentences:

11. Challenge: If a shape is reflected over the x-axis and then over the y-axis, what single transformation would produce the same result?

I Can Statements - Check off what you can do:

I can describe how coordinates change when reflecting over the x-axis and y-axis

I can accurately reflect shapes on a coordinate grid

I can explain why reflections produce congruent shapes

Coordinate Grid Reflections

Coordinate Grid Reflections

📍 Part 1: Understanding Reflections

📊 Part 2: Coordinate Practice

🎯 Part 3: Problem Solving

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