Lesson : length and midpoint
Learning Objectives
1 Calculate the length of a line segment.
2 Find the coordinates of the midpoint of a line segment.
The length of a line segment
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The length of a line segment is the distance between its two endpoints in a straight path. It is a measure of how long the line segment is without considering any curves or deviations along its path. The length of a line segment is typically calculated using the distance formula, which is derived from the Pythagorean theorem. If you have two points in a two-dimensional Cartesian coordinate system, say \((x_{1}, y_{1})\) , the length (L) of the line segment connecting these two points is given by: Length \(\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \)
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Interactive Graph
Practice worksheet
Instructions:
- For each pair of points, calculate the distance between them using the distance formula.
- Round your answers to two decimal places.
Find the distance between the following pairs of points:
1) Point A (2, 3) and Point B (5, 9)
2) Point X (-1, -2) and Point Y (3, 4)
3) Point P (0, 0) and Point Q (8, 15)
4) Point M (-3, 7) and Point N (-3, -1)
5) Point R (6, -8) and Point S (-2, 10)