grade 8 reflections quiz

📚 Quick Study Guide

• 🔍 A reflection is a transformation that flips a figure over a line, called the line of reflection.
• 📏 The reflected image is the same size and shape as the original.
• ↔️ Corresponding points in the original and reflected images are the same distance from the line of reflection.
• ➕ When reflecting over the x-axis, the x-coordinate stays the same, and the y-coordinate changes sign: $(x, y) \rightarrow (x, -y)$.
• ➖ When reflecting over the y-axis, the y-coordinate stays the same, and the x-coordinate changes sign: $(x, y) \rightarrow (-x, y)$.
• 📐 Reflections preserve angle measures, side lengths, and the overall shape of the figure (congruence).
• 💡 A reflection followed by another reflection over a parallel line results in a translation.

Practice Quiz

1. What transformation is represented by flipping a figure over a line?
   1. Rotation
   2. Translation
   3. Reflection
   4. Dilation
2. When reflecting a point over the x-axis, what changes?
   1. The x-coordinate
   2. The y-coordinate
   3. Both coordinates
   4. Neither coordinate
3. What are the coordinates of the point (3, -2) after reflection over the y-axis?
   1. (3, 2)
   2. (-3, -2)
   3. (-3, 2)
   4. (3, -2)
4. Which property is NOT preserved during a reflection?
   1. Angle measure
   2. Side length
   3. Orientation
   4. Shape
5. If a point A is 5 units away from the line of reflection, how far is its reflected image A' from the line?
   1. 2.5 units
   2. 5 units
   3. 10 units
   4. It depends on the angle of reflection
6. Reflecting over the x-axis followed by reflecting over the y-axis is equivalent to:
   1. Rotation of 90 degrees
   2. Rotation of 180 degrees
   3. Translation
   4. Dilation
7. The point (-1, 4) is reflected over the x-axis. Then, the resulting point is reflected over the y-axis. What are the final coordinates?
   1. (1, 4)
   2. (-1, -4)
   3. (1, -4)
   4. (-1, 4)