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Matrix Reasoning 15 - Flag Mirror States

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Each flag is flipped left-right, up-down, both, or neither. Find how the flip cycles across rows and columns, and circle the piece that completes the grid.

Practice and check

Worked example

Apply the same row and column rule to the missing cell. Compare each option with the required features.

1. B Row 1: top-bottom reflection → left-right reflection → unchanged Row 2: unchanged → both reflections → top-bottom reflection Row 3: top-bottom reflection → left-right reflection → unchanged Column 3: unchanged → top-bottom reflection → unchanged

  1. Row 1: top-bottom reflection → left-right reflection → unchanged
  2. Row 2: unchanged → both reflections → top-bottom reflection
  3. Row 3: top-bottom reflection → left-right reflection → unchanged
  4. Column 3: unchanged → top-bottom reflection → unchanged
Check answers after trying

1: B 2: D 3: A 4: C

Printed order

Solution diagram
Solution diagram

Why this answer

  1. 1. B Row 1: top-bottom reflection → left-right reflection → unchanged Row 2: unchanged → both reflections → top-bottom reflection Row 3: top-bottom reflection → left-right reflection → unchanged Column 3: unchanged → top-bottom reflection → unchanged
  2. 2. D Row 1: unchanged → top-bottom reflection → unchanged Row 2: both reflections → left-right reflection → both reflections Row 3: top-bottom reflection → unchanged → top-bottom reflection Column 3: unchanged → both reflections → top-bottom reflection
  3. 3. A Row 1: both reflections → top-bottom reflection → left-right reflection Row 2: unchanged → both reflections → top-bottom reflection Row 3: left-right reflection → unchanged → both reflections Column 3: left-right reflection → top-bottom reflection → both reflections
  4. 4. C Row 1: left-right reflection → top-bottom reflection → both reflections Row 2: both reflections → unchanged → left-right reflection Row 3: left-right reflection → top-bottom reflection → both reflections Column 3: both reflections → left-right reflection → both reflections

Next worksheet: Matrix Reasoning Puzzle - Find the Missing Piece

Shared practice guide

Tips for Parents

▸ What is on the sheet Each flag is flipped left-right, up-down, both, or neither. Find how the flip cycles across rows and columns, and circle the piece that completes the grid. Track the pole position and the triangle direction. Do not replace a reflection with a 90° turn. ▸ Try one example 1. B Row 1: top-bottom reflection → left-right reflection → unchanged Row 2: unchanged → both reflections → top-bottom reflection Row 3: top-bottom reflection → left-right reflection → unchanged Column 3: unchanged → top-bottom reflection → unchanged ▸ Check a difficulty Track the pole position and the triangle direction. Do not replace a reflection with a 90° turn. Apply the same row and column rule to the missing cell. Compare each option with the required features. ▸ Choose the next step 2. D Row 1: unchanged → top-bottom reflection → unchanged Row 2: both reflections → left-right reflection → both reflections Row 3: top-bottom reflection → unchanged → top-bottom reflection Column 3: unchanged → both reflections → top-bottom reflection

What This Worksheet Builds

Track the pole position and the triangle direction. Do not replace a reflection with a 90° turn.

Next Step

Apply the same row and column rule to the missing cell. Compare each option with the required features.