Math Problem Statement
State whether the following statement is true or false: The point (-1,4) lies in quadrant IV of the Cartesian plane.
Solution
The question is asking if the point lies in Quadrant IV of the Cartesian plane.
In the Cartesian coordinate system:
- Quadrant I: Both and are positive.
- Quadrant II: is negative and is positive.
- Quadrant III: Both and are negative.
- Quadrant IV: is positive and is negative.
For the point , the -coordinate is negative and the -coordinate is positive. Therefore, this point lies in Quadrant II, not Quadrant IV.
So, the correct answer is False.
Would you like more details, or do you have any further questions?
Here are 5 related questions to consider:
- How can you determine which quadrant a point belongs to?
- What are the coordinates of a point in Quadrant III?
- What is the significance of the sign of the coordinates in each quadrant?
- How does the Cartesian plane divide space into quadrants?
- What happens if a point lies on one of the axes?
Tip: To quickly determine a point's quadrant, check the signs of the and coordinates.
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Math Problem Analysis
Mathematical Concepts
Cartesian Coordinates
Quadrants
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8