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CEMC Gauss (Grade 8), 2019

Geometry Difficulty 2.3 Junior Find the answer Canada

In the diagram, point $F$ has coordinates $(6,6)$ .

Points $P$ and $Q$ are two vertices of a triangle. Which of the following points can be joined to $P$ and $Q$ to create a triangle with an area of 6?

Pick one

Solution

One complete rotation equals $360\degree$ .

Therefore, $k\degree+90\degree=360\degree$ and so $k=360-90=270$ .

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