Math Problem Statement

Practice Exercises 1.1 based on Cartesian coordinates, asking to identify points, axes, and other elements from a given grid.

Solution

Here are the answers based on the given figure in the image:

  1. What are the coordinates of point A?

    • Point A is located at (5,3)(5, 3).
  2. On which axis is point S located?

    • Point S is on the x-axis.
  3. Name a point on the y-axis.

    • Point BB is on the y-axis.
  4. Which point is in the origin?

    • The origin is at point BB, coordinates (0,0)(0, 0).
  5. Name all the indicated points in the third quadrant.

    • Points DD and FF are in the third quadrant.
  6. What is the abscissa of point E?

    • The abscissa (x-coordinate) of point EE is 22.
  7. What is the ordinate of point F?

    • The ordinate (y-coordinate) of point FF is 2-2.
  8. Which point has coordinates (3,4)(3, 4)?

    • Point GG has coordinates (3,4)(3, 4).
  9. Which point lies both on the x- and y-axis?

    • The point that lies on both axes is the origin, B(0,0)B (0, 0).
  10. What are the coordinates of the origin?

  • The origin's coordinates are (0,0)(0, 0).

Would you like more details or further clarification?

Related questions:

  1. What is the difference between abscissa and ordinate?
  2. How can you determine the quadrant of a point?
  3. What is the significance of the origin in coordinate geometry?
  4. Can a point lie on both axes without being at the origin?
  5. How do you plot points in the four quadrants of a Cartesian plane?

Tip: The sign of the coordinates helps identify which quadrant a point belongs to.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Cartesian Plane
Quadrants
Axes
Points

Formulas

None directly applied in this specific problem, but understanding the Cartesian coordinate system is key.

Theorems

No specific theorems are required, but an understanding of the Cartesian plane and quadrants is necessary.

Suitable Grade Level

Grade 6-8