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CEMC Gauss (Grade 7), 2025

Geometry Difficulty 1.4 Junior Find the answer Canada

The coordinates of $R$ are
$(2,6)$ , as shown. After which of
these translations will $R$ move to
the point $(7,0)$ ?

Pick one

Solution

The $x$ -coordinate of $(2,6)$ is $5$ less than the $x$ -coordinate of $(7,0)$ , and so $R$ must be translated right $5$ .

The $y$ -coordinate of $(2,6)$ is $6$ more than the $y$ -coordinate of $(7,0)$ , and so $R$ must be translated down $6$ .

Thus, the translation right $5$ , down
$6$ will move $R(2,6)$ to $(7,0)$ .

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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.