# The Coordinate Plane: Difficult Problems with Solutions

By Catalin David
Problem 1
If point A with the coordinates (2, a) is situated on the x-axis, then
a = .
Problem 2
If point B with the coordinates (a, 3) is situated on the y-axis, then a = .
Problem 3
What are the coordinates of a point found in quadrant II at 4 units from the y-axis and at 2 units from the x-axis?
Problem 4
What are the coordinates of a point found in quadrant III at 4 units from the x-axis and at 3 units from the y-axis?
Problem 5
What are the coordinates of a point found in quadrant I at 3 units from the x-axis and at 2 units from the y-axis?
Problem 6
What are the coordinates of a point found in quadrant IV at 1 unit from the y-axis and at 4 units from the x-axis?
Problem 7
What is the distance between points A(1, 3) and B(4, 3)?
Problem 8
What is the length of AB if A has the coordinates (-3, 2) and B has the coordinates (2, 2)?
Problem 9
What is the length of AB if A has the coordinates (4, 2) and B has the coordinates (4, 6)?
Problem 10
What are the coordinates of the symmetric of point A with respect to point B?

Problem 11
What is the length of AB if A has the coordinates (-2, -5) and B has the coordinates (-2, 3)?
Problem 12
What is the length of AB if A has the coordinates (-4, 5) and B has the coordinates (-4, -1)?
Problem 13
What are the coordinates of point B?

Problem 14
What are the coordinates of point B?

Problem 15
What are the coordinates of point C?

Problem 16
What are the coordinates of point B?

Correct:
Wrong:
Unsolved problems:
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