Distance on the Coordinate Plane - Grace 8
Videos and solutions to help Grade 8 students learn how to determine the distance between two points on a coordinate plane using the Pythagorean Theorem.
New York State Common Core Math Grade 8, Module 7, Lesson 17
Plans and Worksheets for Grade 8
Plans and Worksheets for all Grades
Lessons for Grade 8
Common Core For Grade 8
Lesson 17 Student Outcomes
•Students determine the distance between two points on a coordinate plane using the Pythagorean Theorem.
Lesson 17 Summary
To determine the distance between two points on the coordinate plane, begin by connecting the two points. Then
draw a vertical line through one of the points and a horizontal line through the other point. The intersection of the
vertical and horizontal lines forms a right triangle to which the Pythagorean Theorem can be applied.
To verify if a triangle is a right triangle, use the converse of the Pythagorean Theorem.
Lesson 17 Classwork
What is the distance between the two points A, B on the coordinate plane?
For each of the Exercises 1–4, determine the distance between points and on the coordinate plane. Round your
answer to the tenths place.
Is the triangle formed by the points A, B, C a right triangle?
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.