To determine the pattern and to draw the next three figures in the pattern given in the problem.
The next three figures of the pattern:
  
Given the pattern:
  
Calculation:
Observe that both the shapes execute a clockwise rotation.
When a shape is in the first row, it executes a square by square motion to its right side.
When, it is in the second row it executes a square by square motion to its left side.
In the last figure, the square is in the second row and the
Thus, the circle will move into the closest right square and the square will move into the closest left square.
Such a figure is drawn:
  
Now, since the square is in the second row and the circle is in the first row, the square will move into the closest left square and the circle will move into the closest right square during the next move.
Such a movement is drawn below:
  
Proceeding in a similar way, the next figure is also drawn:
  
Thus, the next three figures of the pattern
  
Conclusion:
The next three figures of the pattern
  
Chapter 1 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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