📚 Topic Summary
When you have two points that share the same x-coordinate, they lie on a vertical line. Finding the distance between these points is simply a matter of finding the difference between their y-coordinates. Since distance is always positive, you'll want to take the absolute value of the difference. For example, if you have the points (2, 5) and (2, 1), the distance between them is |5 - 1| = 4 units.
This method works because you're essentially measuring the length of the vertical line segment connecting the two points. No need for complicated formulas here—just subtract the y-coordinates and make sure your answer is positive! 👍
🧮 Part A: Vocabulary
Match the term with its definition:
- Term: Coordinate
- Term: Absolute Value
- Term: X-coordinate
- Term: Y-coordinate
- Term: Distance
- Definition: The horizontal position of a point.
- Definition: A number that indicates a position along an axis.
- Definition: The non-negative value of a number, regardless of its sign.
- Definition: The length between two points.
- Definition: The vertical position of a point.
(Interactive: Drag and drop the definitions to match the terms)
✍️ Part B: Fill in the Blanks
When finding the distance between two points with the same x-coordinate, you only need to look at the ______-coordinates. The distance is the ______ ______ of the difference between these values. Since distance cannot be ______, always ensure your final answer is a ______ number.
(Interactive: Drag and drop these words into the blanks: Positive, Absolute Value, Negative, y )
🤔 Part C: Critical Thinking
Explain in your own words why the distance between two points is always a non-negative value. Give a real-world example where negative distance wouldn't make sense. 🌎