By using slope, we have to find whether the vertices form a rectangle or not.
Answer to Problem 59E
Yes, vertices ABCD are forming a rectangle.
Explanation of Solution
Given information:
Formula used: -
“In a rectangle the slope of two opposite sides are equal and two adjacent sides are perpendicular”.
Now, using
Slope of AB:
Slope of CD:
Slope of BC:
Now checking the perpendicular condition for BC and CD
Therefore, BC is perpendicular on CD.
Therefore, the vertices ABCD is forming a rectangle as the slope of opposite sides are equal and adjacent sides are perpendicular to each other.
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th 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