22 The points A(1, 1) and C(8, 8) form the opposite ends of the diagonal of rhombus ABCD. a Using the fact that each diagonal of a rhombus perpendicularly bisects the other, find the equation of the line BD. b If the gradient of line segment AB is 4, find the coordinates of B and D. c Find the length of each side of the rhombus. 23
22 The points A(1, 1) and C(8, 8) form the opposite ends of the diagonal of rhombus ABCD. a Using the fact that each diagonal of a rhombus perpendicularly bisects the other, find the equation of the line BD. b If the gradient of line segment AB is 4, find the coordinates of B and D. c Find the length of each side of the rhombus. 23
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 1E
Related questions
Question
math g12 #2
![22 The points A(1, 1) and C(8, 8) form the opposite ends of the diagonal of rhombus ABCD.
a Using the fact that each diagonal of a rhombus perpendicularly bisects the other, find the equation of the line
BD.
b If the gradient of line segment AB is 4, find the coordinates of B and D.
c Find the length of each side of the rhombus.
23](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5be985fb-9d00-4777-b100-a64b57bb3218%2F9cc116c4-2f8d-4ab2-949c-ab9b2f31bfcc%2Fxngufwk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:22 The points A(1, 1) and C(8, 8) form the opposite ends of the diagonal of rhombus ABCD.
a Using the fact that each diagonal of a rhombus perpendicularly bisects the other, find the equation of the line
BD.
b If the gradient of line segment AB is 4, find the coordinates of B and D.
c Find the length of each side of the rhombus.
23
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning