Maths Olympiad Prep

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, 2015

Geometry Difficulty 1.1 Junior Find the answer Canada

Which of the following figures is obtained when the shaded figure shown is reflected about the line segment PQPQ?

   

(A) (B) [[IMAGE1]] (C) [[IMAGE2]] (D) [[IMAGE3]] (E) [[IMAGE4]]

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

When the shaded figure in
[[IMAGE0]]

is reflected about the line segment PQPQ, the resulting figure is

[[IMAGE1]]

This is because the figure started above the line and so finished below the line, and the figure initially touched the line at two points, so finishes still touching the line at two points.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.