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Finding the Length of Line Segments

HSG-GPE.B.7
Answer Keys Here

Aligned To Common Core Standard:

High School Geometry - HSG-GPE.B.7

What Is the Distance Formula? The distance formula is a useful tool to find the distance between two arbitrarily points. The formula is divided from the Pythagoras theorem which is the a2+b2= c2, where c is the longest side of a right-angled triangle. Suppose you are given two points (-2, 1) and (1, 5), which are located on different locations of the axes. In the present example, the x coordinate is on the negative x-axis, and the ordinate is on the positive y-axis. While both of the coordinates like on the positive side of the x and y-axis. This series of worksheets will use the coordinate plane to help students decipher the length of line segments.

Printable Worksheets And Lessons




Homework Sheets

Use the end points to determine the length.

  • Homework 1 - We can use the distance formula to determine the length of this line.
  • Homework 2 - The distance formula asks us to take the square root of (x2 - x1)2 + (y2 - y1)2
  • Homework 3 - Find the length of the line segment whose endpoints are: (-5, 5) and (14, 10).



Practice Worksheets

The distance formula is something we encourage students to memorize. It is not often given on standard tests.

  • Practice 1 - Find the distance between the points (9, -9) and (8, 7)
  • Practice 2 - Where is the point in your mind?
  • Practice 3 - You can also use geometry to find this one.



Math Skill Quizzes

All the questions are positioned in the way you will see them on assessments. There are really only two formats that we have seen.

  • Quiz 1 - Don't forget what the negative value tells us.
  • Quiz 2 - Please yourself forward with these.
  • Quiz 3 - Where should I move with these values?