Select the option in which the given figure is embedded (rotation is not…

2022

Select the option in which the given figure is embedded (rotation is not allowed).

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Attempted by 7 students.

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CONCEPT

In an embedded-figure problem, trace the given figure as a connected set of line segments. The required match must preserve every segment’s direction, junction, and orientation; extra surrounding lines may be ignored, but rotation is not permitted here.

APPLICATION

  1. Trace the long vertical segment whose lower end joins a horizontal segment extending to the right.

  2. At the vertical segment’s upper junction, trace a short horizontal branch extending left; a diagonal returns from that branch’s far endpoint to a lower point on the vertical.

  3. In the diagram containing nested rectangular outlines and a small triangular subdivision bounded by an outer horizontal segment, an outer vertical segment, and an inward-descending diagonal, the entire trace appears continuously in the required orientation.

CROSS-CHECK / CONTRAST

  • The nested-rectangle diagram whose triangular subdivision touches the lower horizontal boundary places the diagonal at a different junction.

  • The diagram with an overlapping diamond-shaped path changes the required junction pattern through multiple crossing diagonals.

  • The gridded diagram separates its small triangular subdivisions across two side boundaries and adds a long diagonal through another cell.

Therefore, the nested-rectangle diagram whose small triangular subdivision is bounded by the outer horizontal and vertical segments and an inward-descending diagonal contains the given figure without rotation.

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