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Mirror Reflection

Finding the reflected image of a shape across a horizontal or vertical axis.

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Finding the reflected image of a shape across a horizontal or vertical axis.

Mirror reflection (or flip) creates a reversed image of a shape across an axis. A horizontal mirror flips the shape top-to-bottom (like looking in a pond). A vertical mirror flips left-to-right (like a standard mirror). Unlike rotation, reflection reverses the 'handedness' of a shape—asymmetric shapes become their mirror opposites.

reflection(shape, axis) = shape flipped across axis

  • Vertical mirror: left features move to right, right to left
  • Horizontal mirror: top features move to bottom, bottom to top
  • Letter 'b' becomes 'd' with vertical mirror, 'p' with horizontal

How to recognize it

  • Identify which axis the mirror is along
  • Vertical axis: swap left and right
  • Horizontal axis: swap top and bottom
  • The shape should look like its reflection, not a rotation

Common mistakes

  • Confusing reflection with 180° rotation
  • Mixing up horizontal and vertical axis effects
  • Forgetting that asymmetric shapes change 'handedness'

Step-by-step walkthrough

The letter 'F' is reflected across a vertical mirror line. What does the reflected letter look like?

  1. Identify the mirror axis: vertical means left and right will swap.
  2. Examine the original 'F': the vertical stem is on the left, and horizontal bars extend to the right.
  3. Apply the reflection: swap left and right positions of all features.
  4. The vertical stem moves to the right side, and horizontal bars now extend to the left.

Answer: A backwards F with the stem on the right and bars extending left

Practice guidance

Spatial Reasoning

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