Which of the following points is closest to the origin (0, 0)?

Which of the following points is closest to the origin (0, 0)?

Step 1: Understand that the origin is the point (0, 0) on a graph.
Step 2: Know that the distance from the origin to any point (x, y) can be calculated using the formula √(x² + y²).
Step 3: Identify the points you want to compare. For example, let's say the points are (0, 1), (1, 1), and (2, 2).
Step 4: Calculate the distance from the origin to each point using the formula.
Step 5: For the point (0, 1), the distance is √(0² + 1²) = √(0 + 1) = √1 = 1.
Step 6: For the point (1, 1), the distance is √(1² + 1²) = √(1 + 1) = √2, which is approximately 1.41.
Step 7: For the point (2, 2), the distance is √(2² + 2²) = √(4 + 4) = √8, which is approximately 2.83.
Step 8: Compare the distances you calculated: 1 (for (0, 1)), approximately 1.41 (for (1, 1)), and approximately 2.83 (for (2, 2)).
Step 9: Determine which distance is the smallest. The smallest distance is 1, which corresponds to the point (0, 1).
Step 10: Conclude that the point closest to the origin is (0, 1).

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