What is the distance between the points (2, 5) and (2, 1)?

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Prepare for the GMAS 6th Grade Mathematics Test. Utilize flashcards, multiple choice questions, and detailed explanations to enhance your skills. Maximize your chances of success!

Multiple Choice

What is the distance between the points (2, 5) and (2, 1)?

Explanation:
Two points that share the same x-coordinate lie on a vertical line, so the distance between them is just the difference in their y-values. Here, both points have x = 2, and their y-values are 5 and 1. The vertical distance is 5 − 1 = 4 (absolute value keeps it positive). So the distance is 4. If you use the distance formula, you’d get sqrt((2−2)^2 + (5−1)^2) = sqrt(0 + 16) = 4.

Two points that share the same x-coordinate lie on a vertical line, so the distance between them is just the difference in their y-values. Here, both points have x = 2, and their y-values are 5 and 1. The vertical distance is 5 − 1 = 4 (absolute value keeps it positive). So the distance is 4. If you use the distance formula, you’d get sqrt((2−2)^2 + (5−1)^2) = sqrt(0 + 16) = 4.

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