Maths Olympiad Prep

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Geometry Difficulty 1.4 Junior Find the answer Canada

When the shaded triangle shown is translated, which of the following triangles can be obtained?

Figure 0

Pick one

Solution

A translation moves (slides) an object some distance without altering it in any other way.

That is, the object is not rotated, reflected, and its exact size and shape are maintained.

Of the triangles given, the triangle labelled DD is the only triangle whose orientation is identical to that of the shaded triangle.

Thus, DD is the triangle which can be obtained when the shaded triangle is translated.

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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.