Students sometimes get confused about the relationship between squares and rectangles. Explain this relationship In your own words, using our (short) definitions of these shapes
To explain: The relationship between squares and rectangles.
Explanation of Solution
Consider a square shown in Figure 1.
The above Figure 1 represents square ABCD.
The sides of square AB, BC,CD, and DA are equal.
Consider a rectangle shown in Figure 2.
The above Figure 2 represents rectangle EFGH.
The sides of square EF, GH are length of the rectangle and are equal in size.
The sides of square EH, FG is breadth of the rectangle and is equal in size.
All angles of rectangle are right angle.
Therefore, it can be observed that the square has all side equals and every angle form right angle similar to rectangle.
Therefore, every rectangle can be square but every square cannot be rectangle.
Want to see more full solutions like this?
Chapter 10 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Additional Math Textbook Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Basic College Mathematics (12th Edition)
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Mathematics All Around (6th Edition)
Introductory Mathematics for Engineering Applications
- The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of one face of a Ferris wheel with diameter 150 feet is 70,650 square feet, what is the area of one face of a Ferris wheel with diameter of 16 feet?arrow_forwardExplain in your own words how to use the vertical line test.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell