Maths Olympiad Prep

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, 2019

Geometry Difficulty 2.3 Junior Find the answer Canada

In the diagram, point FF has coordinates (6,6)(6,6).Figure 0Hide/Reveal Description of Points A is 2 units right and 5 units up from the origin B is 3 units right and 2 units up from the origin C is 4 units right and 6 units up from the origin D is 5 units right and 4 units up from the origin E is 6 units right and 3 units up from the origin F is 6 units right and 6 units up from the origin Points PP and QQ are two vertices of a triangle. Which of the following points can be joined to PP and QQ to create a triangle with an area of 6?

Pick one

Solution

One complete rotation equals 360°360\degree. Therefore, k°+90°=360°k\degree+90\degree=360\degree and so k=36090=270k=360-90=270.

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.