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GATE 2021 BT – Question 2

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 1 mark · Multiple choice

A polygon is convex if, for every pair of points P and Q belonging to it, segment PQ lies completely inside or on it. Which option is NOT convex?

source diagram and its labels are reproduced in the attached image.
  1. Option A in the figure
  2. Option B in the figure
  3. Option C in the figure
  4. Option D in the figure

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Show answer and explanation

Correct answer: (A) Option A in the figure

Explanation

The inward notch in A permits a segment joining two polygon points to leave the polygon. The other shapes are convex.