To graph: The parallelogram PQRS where coordinates of the point P, Q and R are
Explanation of Solution
Given information:
PQRS is a parallelogram and coordinates of three points are
Graph:
Plot the points
Let the coordinates of the point S be
It is known that diagonals of the parallelogram bisect each.
The parallelogram has two diagonals
Let
Recall that the midpoint of the segment that joins two points
Now,
Therefore,
Therefore,
Also,
Equate the x -coordinate of each bracket,
Equate the y -coordinate of each bracket,
Therefore, coordinates of the point S are
Now, plot the points
Interpretation:
The parallelogram PQRS so formed above, has diagonals that bisect each other. Opposites sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary that is adds to
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