Maths Olympiad Prep

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, 2016

Geometry Difficulty 2.6 Junior Find the answer Canada

Triangle TT is reflected once.

Figure 0

Which of the following triangles cannot be this reflection of triangle TT?

Figure for this problem

Pick one

Solution

Each of the following four diagrams shows the image of triangle TT after its reflection in the dotted line.

Figure 1

Thus, each of the triangles labelled A,B,D,A, B, D, and EE is a single reflection of triangle TT in some line.

The triangle labelled CC is the only triangle that cannot be a reflection of triangle TT.

Figure for this problem

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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.