The Coordinate Plane: Very Difficult Problems with Solutions

By Catalin David
Problem 1
What are the coordinates of the symmetric of point A with respect to point O?

Problem 2
What are the coordinates of M, found halfway between A and B?

Problem 3
Square OCAB has an area of 9 square units. Point O is found where the axes meet. What are the coordinates of point A?

Problem 4
How many points are found on the circle whose center is O, having a radius of 2 units?

Problem 5
The area of triangle ABC is .

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