Answer :
To determine whether the statement "The origin is at (1, 1)" is true or false, let's analyze what we know about the origin in a Cartesian coordinate system.
1. Understanding the Origin: In a standard Cartesian coordinate system, the origin is defined as the point where the x-axis and the y-axis intersect. By definition, this point is located at the coordinates (0, 0).
2. Reviewing the Given Statement: The statement claims that the origin is at the coordinates (1, 1). This point (1, 1) represents a position that is 1 unit to the right along the x-axis and 1 unit up along the y-axis from the origin (0, 0).
3. Comparison with the Definition: Comparing this with the definition of the origin (0, 0), we see that (1, 1) does not match the standard definition of the origin.
Therefore, the statement "The origin is at (1, 1)" is incorrect. The origin is at (0, 0), not at (1, 1).
Hence, the correct answer to the question is:
B. False
1. Understanding the Origin: In a standard Cartesian coordinate system, the origin is defined as the point where the x-axis and the y-axis intersect. By definition, this point is located at the coordinates (0, 0).
2. Reviewing the Given Statement: The statement claims that the origin is at the coordinates (1, 1). This point (1, 1) represents a position that is 1 unit to the right along the x-axis and 1 unit up along the y-axis from the origin (0, 0).
3. Comparison with the Definition: Comparing this with the definition of the origin (0, 0), we see that (1, 1) does not match the standard definition of the origin.
Therefore, the statement "The origin is at (1, 1)" is incorrect. The origin is at (0, 0), not at (1, 1).
Hence, the correct answer to the question is:
B. False
