Explain the proof of the given statement.
Explanation of Solution
Given:
The given statement is that the midpoints of a quadrilaterals form a parallelogram.
Calculation:
Draw a diagram for the given statement.
In the diagram,
Let the coordinates of the points
If the coordinates of
Coordinates of the midpoint
Coordinates of the midpoint
Coordinates of the midpoint
Coordinates of the midpoint
The distance,
In triangles
Now the
Then,
From midpoint theorem
In triangles
Now the
Then,
From midpoint theorem
From
Similarly
Hence
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning