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SSC CGL Reasoning · Embedded Figures and Pattern Completion

Pattern Completion

A symmetric figure has one piece missing; the right option is the piece that mirrors the part on the other side of the figure's line of symmetry.

Why this matters

Five questions in the bank, all from the 2024 shifts, with 1 EASY and 4 MODERATE. They are solved by one idea, reflection in a line, so they are quick once you find the line.

Concept 1 of 1: Completing a symmetric pattern

Most of these figures are symmetric about one or both centre lines. The missing piece is not a copy of its neighbour but its reflection: what is near the edge stays near the edge, and what slants one way slants the other way.

Definition

1. Find the line of symmetry: compare the pieces you can see and find the line across which they mirror each other. 2. Take the piece on the other side of that line from the gap. 3. Reflect it in the line: every mark keeps its distance from the line but moves to the other side.

  • Symmetric about both centre lines: the piece diagonally opposite the gap is the gap's half-turn, and either neighbour mirrored gives the answer.
  • Fast route: check one slanting line or one off-centre mark in the options; a copied piece has it slanting the wrong way.

Worked example

A square is split into four quarters by its centre lines, and the pattern is symmetric about both lines. The top-left quarter has a dot near the square's outer top-left corner. Where is the dot in the missing bottom-right quarter?
Practice this conceptself-check · 4 quick reps

The same idea in a real exam question:

SSC CGL · 2024 · Tier I, 12 Sep 2024, Shift 2 · Q19Moderate

Example 1 · Embedded Figures and Pattern Completion · Pattern Completion

Select the option figure that will replace the question mark (?) in the figure given below and complete the pattern.

Copying the neighbour instead of reflecting it

A copied piece keeps its slants pointing the same way, but a reflection reverses them. Options that copy the neighbouring quarter are the setter's usual trap.

Reflecting in the wrong line

If the pattern is symmetric only about its vertical line, reflecting in the horizontal line gives the wrong piece. Find which line the visible pieces mirror across first.

Summary — formulas & gotchas at a glance

A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.

Watch out for (2)

Test yourself on Embedded Figures and Pattern Completion

15 past SSC CGL questions from this chapter, timed at 9 minutes and marked the way the exam marks it. You see your score and every answer the moment you finish. Free to start.