Examples of reflection (flip) in geometry for kids.

📚 Quick Study Guide

• 🔍 A reflection (or flip) is a transformation that creates a mirror image of a shape.
• 📏 The line of reflection is the line over which the shape is flipped.
• 📐 Each point in the original shape has a corresponding point in the reflected shape, the same distance from the line of reflection.
• 🔄 The reflected image is congruent (same size and shape) to the original image.
• ➕ If a point is *on* the line of reflection, it doesn't move!
• 🧭 Reflections can be done over the x-axis, y-axis, or any other line.
• 📝 When reflecting over the x-axis, the x-coordinate stays the same and the y-coordinate becomes its opposite: $(x, y) \rightarrow (x, -y)$.
• 📈 When reflecting over the y-axis, the y-coordinate stays the same and the x-coordinate becomes its opposite: $(x, y) \rightarrow (-x, y)$.

Practice Quiz

1. What is a reflection in geometry?
   1. A slide
   2. A turn
   3. A flip
   4. A stretch
2. What is the line called over which a shape is flipped?
   1. The line of symmetry
   2. The line of reflection
   3. The x-axis
   4. The y-axis
3. If a point is on the line of reflection, what happens to it?
   1. It moves to a different location.
   2. It stays in the same location.
   3. It disappears.
   4. It becomes twice as big.
4. What happens to the x-coordinate when reflecting over the y-axis?
   1. It stays the same.
   2. It becomes its opposite.
   3. It becomes zero.
   4. It doubles.
5. What happens to the y-coordinate when reflecting over the x-axis?
   1. It stays the same.
   2. It becomes its opposite.
   3. It becomes zero.
   4. It doubles.
6. A triangle has vertices at (1, 2), (3, 4), and (5, 1). If it is reflected over the x-axis, what are the new coordinates of the vertices?
   1. (-1, -2), (-3, -4), (-5, -1)
   2. (1, -2), (3, -4), (5, -1)
   3. (-1, 2), (-3, 4), (-5, 1)
   4. (2, 1), (4, 3), (1, 5)
7. A square has vertices at (-1, -1), (-1, 1), (1, 1), and (1, -1). If it is reflected over the y-axis, what are the new coordinates of the vertices?
   1. (1, 1), (1, -1), (-1, -1), (-1, 1)
   2. (1, -1), (1, 1), (-1, 1), (-1, -1)
   3. (-1, 1), (-1, -1), (1, -1), (1, 1)
   4. (-1, -1), (-1, 1), (1, 1), (1, -1)