ABHYAS PREP: NON-VERBAL REASONING · MIRROR AND WATER IMAGES

Mirror images of figures

A mirror held on the right swaps left and right only: top stays top, and every part lands the same distance behind the mirror line.

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Worked examples

Example 1 · level 1

A mirror is held along the dashed line to the right of the question figure. Which answer figure is its mirror image?

  1. A
  2. B
  3. C
  4. D
Show solution
  1. In a mirror image every point keeps its height and moves to the same distance on the other side: (x, y) → (3 − x, y).
  2. The arrowhead at (1, 2) goes to (2, 2), and every stroke moves the same way.
  3. Only figure (C) has every part in its reflected place, so the answer is (C).

Answer: C

Example 2 · level 2

A mirror is held along the dashed line to the right of the question figure. Which answer figure is its mirror image?

  1. A
  2. B
  3. C
  4. D
Show solution
  1. In a mirror image every point keeps its height and moves to the same distance on the other side: (x, y) → (4 − x, y).
  2. The arrowhead at (2, 0) goes to (2, 0), and every stroke, dot moves the same way.
  3. Only figure (D) has every part in its reflected place, so the answer is (D).

Answer: D

Example 3 · level 3

A mirror is held along the dashed line to the right of the question figure. Which answer figure is its mirror image?

  1. A
  2. B
  3. C
  4. D
Show solution
  1. In a mirror image every point keeps its height and moves to the same distance on the other side: (x, y) → (4 − x, y).
  2. The arrowhead at (2, 0) goes to (2, 0), and every stroke, dot and circle moves the same way.
  3. Only figure (A) has every part in its reflected place, so the answer is (A).

Answer: A

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