(a)
To write: The vertex matrices for
(a)
Answer to Problem 41PPS
The vertex matrix is
Explanation of Solution
Given:
The vertices are
Calculation:
Write the vertex matrix as follows.
Multiply the vertex matrix by the matrix
Therefore, the coordinates of the vertices of the image are
The graph of the image and pre-image is as follows.
(b)
To graph: The
(b)
Answer to Problem 41PPS
The graph of
Explanation of Solution
Given:
The vertices are
Calculation:
The graph of
Figure (1)
Therefore, the graph of
(c)
To make: A conjecture about the reflection of
(c)
Answer to Problem 41PPS
The conjecture is the reflection of
Explanation of Solution
Given:
The vertices are
Calculation:
The conjecture is the reflection of
Write the vertex matrix as follows.
Multiply the vertex matrix by the matrix
Therefore, the matrix is
The graph of the image and pre-image is as follows.
(d)
To find: The matrix that could be used to reflect a
(d)
Answer to Problem 41PPS
The matrix is identity matrix because reflecting a triangle in the same line twice produces the original figure.
Explanation of Solution
Given:
The vertices are
Calculation:
The matrix is identity matrix because reflecting a triangle in the same line twice produces the original figure.
Chapter 4 Solutions
Algebra 2
Additional Math Textbook Solutions
Elementary Algebra
College Algebra (7th Edition)
Linear Algebra and Its Applications (5th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education