Distance on the Coordinate Plane Lesson and Worksheet (with solutions)

Distance of Two Points And Midpoint of a Line Segment Lessons and Worksheets

Two lessons and three worksheets on the distance between two points and the midpoint of a line segment. The first lesson and a no-prep worksheet are on the distance between two points on the coordinate plane. In the lesson, students derive the formula for evaluating the distance between two points on the coordinate plane using the pythagorean theorem. In the worksheet they practice using this formula to find the distance between two points on a coordinate plane. In the first 6 problems students find the distance between two points given their coordinates and in the next four problems students find the distance between two points that are shown on a coordinate plane. The second lesson and a no-prep worksheet are on the midpoint between two points on the coordinate plane. In the lesson, students derive the formula for evaluating the midpoint of a line segment given the coordinates of its endpoints, using the the formula for the distance between two points. In the worksheet, they practice using this formula to find the coordinates of the midpoint of a line segment given the coordinates of its endpoints or find the coordinates of one of the endpoints of a line given the coordinates of the other endpoint and the coordinates of the midpoint of the segment. The third worksheet is on evaluating the distance between two points and the midpoint of a line segment. It begins with easy exercises requiring application of the formulas and continues with more demanding exercises. Detailed solutions to all lessons and the worksheets are included.