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Problem 318

Geometry Difficulty 2.3 Multiple choice CEMC Gauss (Grade 8) · Canada · 2019

In the diagram, point FF has coordinates (6,6)(6,6).


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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

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Official solution

One complete rotation equals 360°360\degree.

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

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.