Length And Midpoint
Overview
Once two points are fixed on a grid, you can find both how far apart they are and the point exactly halfway between them. The length formula is Pythagoras' theorem in coordinate form, and the midpoint is just the average of the coordinates.
In this lesson you will calculate the length of a line segment and find the midpoint, given the coordinates of its end points.
Objectives
- Calculate the length of a line segment from the coordinates of its end points.
- Find the coordinates of the midpoint of a line segment from the coordinates of its end points.
- Calculate the length of a line segment. (Extended only)
- Find the coordinates of the midpoint of a line segment. (Extended only)
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Mind map
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Flashcards
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Length And Midpoint. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- Find the length from (1, 2) to (5, 6). A. 4 B. 8 C. 4√2 D. 32 Answer: C
- Find the midpoint of (1, 2) and (5, 6). A. (2, 4) B. (3, 4) C. (4, 4) D. (6, 8) Answer: B
- The length formula is based on: A. the midpoint rule B. Pythagoras' theorem C. the gradient D. the sine rule Answer: B
- Find the length from (0, 0) to (3, 4). A. 5 B. 7 C. 12 D. 25 Answer: A
- Find the midpoint of (0, 0) and (4, 8). A. (2, 4) B. (4, 8) C. (2, 8) D. (1, 2) Answer: A
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