Maths Olympiad Prep

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, 2014

Geometry Difficulty 1.5 Junior Find the answer Canada

The point A(1,2)A(1,2) is reflected in the yy-axis.

The new coordinates are

Pick one

Solution

The horizontal translation needed to get from Lori’s house to Alex’s house is the difference between the xx-coordinate of Lori’s house, 6, and the xx-coordinate of Alex’s house, 2-2, or 6(2)=6+2=86-(-2)=6+2=8.
The vertical translation needed to get from Lori’s house to Alex’s house is the difference between the yy-coordinate of Lori’s house, 3, and the yy-coordinate of Alex’s house, 4-4, or 3(4)=3+4=73-(-4)=3+4=7.

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From Lori’s house, Alex’s house is left and down.
Therefore the translation needed to get from Lori’s house to Alex’s house is 8 units left and 7 units down.

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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.