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Coordinate Grid Reflections

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Coordinate Grid Reflections

Coordinate grid with reflected shapes

🎯 Learning Goals

I can...

• Describe the effect of reflecting a figure over the x-axis and y-axis

• Accurately reflect a shape over an axis on a coordinate plane

• Explain why reflections produce congruent shapes

📐 Part 1: Understanding Reflections

1. When you reflect a point over the x-axis, what happens to its coordinates?

(x, y) becomes (-x, y)

(x, y) becomes (x, -y)

(x, y) becomes (-x, -y)

The coordinates stay the same

2. When you reflect a point over the y-axis, what happens to its coordinates?

(x, y) becomes (-x, y)

(x, y) becomes (x, -y)

(x, y) becomes (-x, -y)

The coordinates stay the same

3. After reflecting a shape, the new shape is:

Larger than the original

Smaller than the original

Congruent to the original

A different shape entirely

4. Which properties are preserved during reflection? Check all that apply:

Size

Shape

Angle measures

Side lengths

✏️ Part 2: Coordinate Practice

5. Point A is at (3, 2). If you reflect it over the x-axis, what are the new coordinates?

A' = ( _____ , _____ )

6. Point B is at (-4, 5). If you reflect it over the y-axis, what are the new coordinates?

B' = ( _____ , _____ )

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

A' = ( _____ , _____ )

B' = ( _____ , _____ )

C' = ( _____ , _____ )

8. Draw and label both triangles on the coordinate grid below:
9. Explain why the original triangle and its reflection are congruent:
10. Challenge: If you reflect a point over the x-axis and then over the y-axis, what single transformation would give you the same result?

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